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  • ...truction, is an introduction to quantum mechanics for the layperson. See [[Quantum mechanics/Advanced]] for a more technical exposition.'' '''Quantum mechanics''' (from the [[Latin]] ''quantus'', "how much") is a theory in [[physics]]
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  • *[[P. A. M. Dirac]], ''The Principles of Quantum Mechanics'' (1930) -- the beginning chapters provide a very clear and comprehensible *[[David Griffiths]], ''Introduction to Quantum Mechanics'', Prentice Hall, 1995. ISBN 0-13-111892-7 -- A standard undergraduate leve
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  • ...tors points out an important, and previously non-understood implication of quantum mechanics
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  • '''Quantum mechanics''' is a [[first quantization|first quantized]] [[quantum theory]] that supe Quantum mechanics is sometimes used in a more general sense, to mean [[quantum physics]].
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  • ...-andrews.ac.uk/history/HistTopics/The_Quantum_age_begins.html A history of quantum mechanics] *[http://www.imperial.ac.uk/quantuminformation/qi/tutorials Imperial College Quantum Mechanics Course to Download]
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  • *[[Basics of quantum mechanics]] *[[Measurement in quantum mechanics]]
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  • In [[quantum mechanics]], '''measurement''' concerns the interaction of a macroscopic measurement ...e book |title=Quantum Causality: Conceptual Issues in the Causal Theory of Quantum Mechanics |chapter=§2.3.1 The measurement problem |pages=pp. 31 ''ff'' |author=Peter
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  • #Redirect [[Quantum mechanics]]
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  • <noinclude>{{Subpages}}</noinclude>The interpretation of measurement in quantum mechanics
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Page text matches

  • *[[Basics of quantum mechanics]] *[[Measurement in quantum mechanics]]
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  • ==Quantum mechanics==
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  • {{rpl|Quantum mechanics||**}}
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  • A system in quantum mechanics used to illustrate important features of quantum mechanics, such as quantization of energy levels and the existence of zero-point ener
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  • *[[Harmonic oscillator (quantum)|Harmonic oscillator ]] in quantum mechanics
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  • ...p://plato.stanford.edu/entries/qm-action-distance/ Action at a Distance in Quantum Mechanics at Stanford Encyclopedia of Philosophy]
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  • A branch of theoretical chemistry, which applies quantum mechanics and quantum field theory to address issues and problems in chemistry.
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  • * [[Max Planck]], early contributor to [[quantum mechanics]] * [[Neils Bohr]], major contributor to [[quantum mechanics]]
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  • * [[atomic orbital]], in quantum mechanics a one-electron function for an atom * [[molecular orbital]], in quantum mechanics a one-electron function for a molecule
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  • {{r|Quantum mechanics}}
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  • #Redirect [[Quantum mechanics]]
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  • * J. J. Sakurai, ''Advanced Quantum Mechanics'', Addison-Wesley, Reading Mass. (1967)
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  • {{r|Quantum mechanics}} {{r|Observable (quantum mechanics)}}
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  • ...ear=1996 }} The most famous original work on the mathematical structure of quantum mechanics. ...rl=http://books.google.com/books?id=173vjxhvrZoC&printsec=frontcover|title=Quantum mechanics for mathematicians |author=Leon Armenovich Takhtadzhi︠a︡n |isbn=0821846
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  • *L. Pauling and E. B. Wilson, ''Introduction to Quantum Mechanics'', McGraw-Hill, New York (1935).
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  • *[[Quantum mechanics]]
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  • <noinclude>{{Subpages}}</noinclude>The interpretation of measurement in quantum mechanics
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  • * [[Angular momentum (quantum)]], angular momentum in quantum mechanics.
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  • * J. J. Sakurai, ''Advanced Quantum Mechanics'', Addison-Wesley, Reading Mass. (1967)
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  • *[[P. A. M. Dirac]], ''The Principles of Quantum Mechanics'' (1930) -- the beginning chapters provide a very clear and comprehensible *[[David Griffiths]], ''Introduction to Quantum Mechanics'', Prentice Hall, 1995. ISBN 0-13-111892-7 -- A standard undergraduate leve
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  • A synonym for angular momentum coupling in quantum mechanics.
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  • The possibility of changing a state of a [[quantum mechanics|quantum mechanical]] system observed in one location by changing it in a re
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  • ...acuum (classical)|vacuum reference state]] with no fields or particles; in quantum mechanics, the [[Vacuum (quantum electrodynamic)|vacuum state]] with electromagnetic
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  • ...-andrews.ac.uk/history/HistTopics/The_Quantum_age_begins.html A history of quantum mechanics] *[http://www.imperial.ac.uk/quantuminformation/qi/tutorials Imperial College Quantum Mechanics Course to Download]
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  • ...essor of Physics at [[Loyola University (Chicago)]], where he researches [[quantum mechanics]]; Immediate Past President, [[Ameinu]]
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  • #{{cite web |title=Quantum mechanics |date=June2, 2005 |author=Niels Walet, University of Manchester |url= http:
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  • {{r|Quantum mechanics}}
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  • A differential equation of quantum mechanics, describing the spatial and temporal behavior of wave functions.
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  • A technique in [[quantum mechanics]] in which the kinetic energies of nuclei and electrons are calculated sepa
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  • {{r|Measurement in quantum mechanics}} {{r|Quantum mechanics}}
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  • A function in quantum mechanics describing the motion of an electron in a molecule.
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  • {{r|Quantum mechanics}}
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  • * A. R. Edmonds, ''Angular Momentum in Quantum Mechanics'', 2nd edition, Princeton University Press, Pinceton, 1960.
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  • Function in quantum mechanics describing the motion of an electron around the nucleus of an atom.
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  • ...orn British physicist and mathematician instrumental in the development of quantum mechanics, who won the 1954 Nobel Prize in Physics.
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  • ...tter, first postulated by [[Louis de Broglie|de Broglie]], that advanced [[quantum mechanics]].
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  • ...linear algebra]] used throughout the [[matrix mechanics]] formulation of [[quantum mechanics]]. The notation is in wide use in the field today, and although developed with quantum mechanics in mind it can be employed more generally when working with any [[vector sp
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  • ...tions to understanding the structure of [[atom]]s and the development of [[quantum mechanics]].
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  • ...ook-schroe/ (see Chapter 9 for singular S-L operators and connections with quantum mechanics)
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  • ...ted into English: J. J. Griffin, ''Group Theory and its Application to the Quantum Mechanics of Atomic Spectra'', Academic Press, New York (1959). * {{cite book |last= Edmonds |first= A. R. |title= Angular Momentum in Quantum Mechanics |year= 1957
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  • ...ular Hamiltonian is in: [[Roy McWeeny|R. McWeeny]], ''Methods of Molecular Quantum Mechanics,'' 2nd edition, Academic, London (1989).
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  • {{r|Quantum mechanics}}
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  • ...ndividual switching elements of the computation is governed by the laws of quantum mechanics.
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  • {{r|Quantum mechanics}}
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  • ...[[Angular momentum (quantum)#Orbital angular momentum|angular momentum in quantum mechanics]]'' In [[quantum mechanics]], '''orbital angular momentum''' is a conserved property of a system of on
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  • ...on=|publisher=Pearson/Benjamin Cummings|year=2006|id=ISBN 0-8053-3843-8}} (Quantum mechanics)
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  • ...till some energy left. This is explained by the uncertainty principle from quantum mechanics that implies that it is impossible to have a complete absence of energy.
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  • {{r|Quantum mechanics}}
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  • ...s consisted primarily of [[quantum chemistry]], i.e., the application of [[quantum mechanics]] to problems in chemistry. Theoretical chemistry may be broadly divided i ...eculative. Currently, much more sophisticated theoretical attacks based on quantum mechanics are in vogue.
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  • In [[quantum mechanics]], the term '''vector coupling''' is used as a synonym for angular momentum
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  • In [[quantum mechanics]], '''measurement''' concerns the interaction of a macroscopic measurement ...e book |title=Quantum Causality: Conceptual Issues in the Causal Theory of Quantum Mechanics |chapter=§2.3.1 The measurement problem |pages=pp. 31 ''ff'' |author=Peter
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  • ...ioned as due to the electromagnetic field, which has to be combined with [[quantum mechanics]] to treat small entities like atoms, or electrons, or other particles. To
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  • ==Quantum mechanics==
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  • ...ment outcome recorded is <math>\scriptstyle \lambda_i</math>, according to quantum mechanics the probability <math>\scriptstyle p_i </math> of obtaining this measuremen &ldquo;state&rdquo; in quantum mechanics (that is, pure states) that allows an effective description of various scen
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  • Our [[quantum mechanics|quantum mechanical]] description of an [[atom]] suggests a very broad regio
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  • In [[mechanics]], and especially [[quantum mechanics]], adiabatic can also refer to a time-dependent process, where adiabatic m
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  • The behavior of electrons at the atomic and molecular level is governed by [[quantum mechanics]] or [[quantum electrodynamics]]. The (quantum mechanical) interaction bet ...fields]] using the (classical) [[Maxwell equations]]. In such an approach, quantum mechanics can be used to establish the electronic properties of materials, which then
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  • In [[quantum mechanics]], ''a''<sub>0</sub> appears as the maximum in the radial distribution as
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  • ...ron) with respect to a state with principal quantum number ''n''. That is, quantum mechanics gives the same measure for the "size" of a one-electron atom (in state ''n
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  • * Pauling L, and Wilson EB ''Introduction to Quantum Mechanics with Applications to Chemistry'' (Dover Publications) ISBN 0-486-64871-0 * Atkins PW ''et al'' ''Molecular Quantum Mechanics'' (Oxford University Press)
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  • '''Quantum biology''' has emerged as a discipline that aims to investigate [[Quantum mechanics|quantum]] phenomena&mdash;e.g., [[coherence]], [[tunneling]], [[Entanglemen ...hemistry of the cell and multicellular organism rests on the foundation of quantum mechanics. But not all known quantum phenomena can be seen to readily apply to livin
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  • * A. R. Edmonds, ''Angular Momentum in Quantum Mechanics'', Princeton University Press, 2nd edition (1960)
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  • ...[Schrödinger equation|wave equation]], which formed the basis of the new [[quantum mechanics]]. It took another year before [[Paul A.M. Dirac]]<ref>P.A.M. Dirac, Proc.
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  • ...sics]], Hilbert spaces play a fundamental role in the physical theory of [[quantum mechanics]]. The state (in the so-called [[Schrödinger picture]]) of a quantum mecha
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  • ...f matter and a fundamental demonstration of the viability of the theory of quantum mechanics.
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  • ...tors points out an important, and previously non-understood implication of quantum mechanics
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  • ...s are standing still, there is no translation, rotation or vibration. In [[quantum mechanics|quantum mechanical]] terms all possible motions are in their lowest-energy
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  • |title = Topics in Quantum Mechanics
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  • {{r|Quantum mechanics}}
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  • ...tum chemistry''' is a branch of [[theoretical chemistry]], which applies [[quantum mechanics]] and [[quantum field theory]] to address issues and problems in [[chemistr In quantum mechanics and quantum chemistry the atom is seen as a small, dense, positively charge
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  • ==Quantum mechanics== The virial theorem holds also in quantum mechanics. Quantum mechanically the angular brackets do not indicate a time-average,
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  • {{r|Quantum mechanics}}
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  • ...arcels are now called [[photons]]. The Planck constant is ubiquitous in [[quantum mechanics]]. For instance, it appears in the [[Schr&ouml;dinger equation]]. Its small
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  • L. Pauling and E. Bright Wilson, ''Introduction to Quantum Mechanics'', McGraw-Hill, New York (1935), pp. 342, 343.
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  • {{r|Quantum mechanics}}<br>
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  • ...etic spectrum]]), as well as spectral analysis of radiation; elasticity; [[quantum mechanics]]; and many other areas of scientific research. ...is a partial differential equation (or PDE) of fundamental importance in [[quantum mechanics]].
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  • Throughout this article the [[Many Worlds Interpretation]] (MWI) of [[quantum mechanics]] is used.
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  • ...riffiths, David J. | authorlink = David Griffiths | title=Introduction to Quantum Mechanics (2nd ed.) | publisher=Prentice Hall | year=2004 | id=ISBN 0-13-805326-X}} * {{cite book | author=Merzbacher, Eugen | title=Quantum Mechanics | publisher=Wiley, John & Sons, Inc | year=1998 | id=ISBN 0-471-88702-1}}
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  • ...in a single unified theory, including all phenomena both at the level of [[quantum mechanics]] and on a scale as wide as the [[universe]], this has not yet been proven. ...y are combined. For example, the unification of [[general relativity]] and quantum mechanics has so far proven impossible due to creation of infinite values when lookin
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  • ...truction, is an introduction to quantum mechanics for the layperson. See [[Quantum mechanics/Advanced]] for a more technical exposition.'' '''Quantum mechanics''' (from the [[Latin]] ''quantus'', "how much") is a theory in [[physics]]
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  • * Atkins PW ''et al'' ''Molecular Quantum Mechanics'' (Oxford University Press)
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  • ...on vector of the electron.<ref> Here "orbital" is used as a ''noun''. In [[quantum mechanics]], the ''adjective'' orbital is often used as a synonym of "spatial" (as in ...spin and orbital, which were distinguished carefully by early writers on quantum mechanics. For instance, one of the pioneers of theoretical chemistry, [[Walter Heitl
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  • {{r|Quantum mechanics}}
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  • In quantum mechanics, an '''observable''' is a property of the system, whose value may be determ
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  • ...ented an extraordinary mystery that has not been successfully explained by quantum mechanics or any other approach.<ref name=ColoradoExpWaveInter>[http://www.colorado.e ==[[Quantum mechanics]] and [[Wave-particle duality|wave-particle duality]]==
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  • ...'' vibrating back and forth on a line around an equilibrium position. In [[quantum mechanics]], the one-dimensional harmonic oscillator is one of the few systems that c According to quantum mechanics, the wave function squared of a point mass, |&psi;(''x'')|&sup2;, is the
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  • The '''Schrödinger equation''' is one of the fundamental equations of [[quantum mechanics]] and describes the spatial and temporal behavior of quantum-mechanical sys ...ve'' the Schrödinger equation because it is a fundamental ''postulate'' of quantum mechanics.
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  • ...sical [[electrodynamics (classical)|electrodynamics]]. The theory based on quantum mechanics ''and'' Maxwell equations is called [[quantum electrodynamics]].
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  • {{r|Quantum mechanics}}
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  • ...inside but cannot pass through the hard wall of the ball. Applications in quantum mechanics include nucleons in atomic nuclei, or alpha radioactivity where the barrier
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  • ...946, and a PhD in physics in 1949 for a thesis concerned an application of quantum mechanics to solid state physics. From 1948 until 1956 he taught a course in the hist
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  • ...h>j_z</math> be generators of the [[Lie algebra]] of SU(2) and SO(3). In [[quantum mechanics]] these ...ted into English: J. J. Griffin, ''Group Theory and its Application to the Quantum Mechanics of Atomic Spectra'', Academic Press, New York (1959).</ref>
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  • {{r|Quantum mechanics}}
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  • ...-wave duality''') refers to the double nature of light and matter at the [[quantum mechanics|quantum]] level.
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  • In classical mechanics, as well as in quantum mechanics, the kinetic energy of rotation of a rigid rotor is linear in a quantity ca
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  • ...228, Nov2006, Vol. 59, Issue 11, in [[EBSCO]], on pseudoscientists' use of quantum mechanics
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  • * Birkhoff, G., and von Neumann, J. (1936), "The Logic of Quantum Mechanics", ''[[Annals of Mathematics]]'' 37, 823–843.
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  • ...tanding the structure of [[Atom (science)|atom]]s and the development of [[quantum mechanics]].
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  • The method is widely used in [[quantum mechanics]] where the central equation&mdash;the time-independent [[Schrödinger equa ...unded configuration spaces with periodic boundary conditions also occur in quantum mechanics and variational Rayleigh-Ritz theory, outlined below, applies to these cas
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  • In [[quantum mechanics]], '''angular momentum''' is a [[vector operator]] of which the three compo ...n one of the very first&mdash;and most important&mdash;papers on the "new" quantum mechanics, the ''Dreimännerarbeit'' (three men's work) of [[Max Born|Born]], [[Werne
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  • ...equation]] deals with non-[[commutativity|commuting]] objects ([[operator (quantum mechanics)|operator]]s).
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  • ...ee [[Pauli spin matrices]]. These matrices have use in [[Quantum mechanics|quantum mechanics]]. The four matrices form an orthogonal basis for the 4-dimensional [[vecto
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  • The associated Legendre functions are important in [[quantum mechanics]] and [[potential theory]]. ...ns, which are taken from Edmonds.<ref>A. R. Edmonds, ''Angular Momentum in Quantum Mechanics'', Princeton University Press, 2nd edition (1960)</ref>
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  • ...ce sake, that the one-system energies are discrete (as they often are in [[quantum mechanics]]) running from &epsilon;<sub>0</sub> to &epsilon;<sub>&infin;</sub> , then
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  • ...polynomials''' form a well-known class of [[orthogonal polynomials]]. In [[quantum mechanics]] they appear as [[eigenfunction]]s of the [[harmonic oscillator (quantum)|
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  • This model is described by almost every book on quantum mechanics. For example, see {{cite book |title=Fundamentals of Solid State Engineerin ...ost every book on solid state physics. For example, see {{cite book |title=Quantum mechanics in a nutshell |author=Gerald D. Mahan |url=http://books.google.com/books?id
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  • ...''classical'' is taken to distinguish this formulation of mechanics from [[quantum mechanics]], and from developments in [[quantum field theory]], in particular, [[quan ...m|atomic]] and [[molecule|molecular]] behavior studied in [[chemistry]], [[quantum mechanics]] must be applied for accurate results. For the full range of interactions
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  • ...'''31''', p. 681 (1925). Translated by B. L. van der Waerden, ''Sources of Quantum Mechanics'', Dover New York (1968)</ref> ...ic electrons by oscillators was a common procedure before the discovery of quantum mechanics: Lorentz explained the [[Zeeman effect]] by it, Planck assumed that a radia
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  • ...]], the '''zero-point energy''' is the lowest possible [[energy]] that a [[Quantum mechanics|quantum mechanical]] [[physical system]] may possess; it is the energy of t ...n value]] of a certain [[operator (physics)|operator]], the [[Hamiltonian (quantum mechanics)|Hamiltonian]] of the system. For almost all quantum-mechanical systems, th
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  • ...hbb{R};\mathbb{C})</math>, where ''I'' denotes the identity operator. In [[quantum mechanics]], the pair ''Q'' and ''P'' is known as the [[Schrödinger representation]]
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  • '''Quantum mechanics''' is a [[first quantization|first quantized]] [[quantum theory]] that supe Quantum mechanics is sometimes used in a more general sense, to mean [[quantum physics]].
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  • ...molecules the electronic charge-distribution is stable, as follows from [[quantum mechanics|quantum mechanical]] laws, and an external electric field polarizes the ele ...arizability was likewise unexplainable. This changed after the advent of [[quantum mechanics]]. By means of the quantum mechanical technique of [[perturbation theory]]
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  • ...must establish how much initial energy is present in each mode. Of course, quantum mechanics can account for excitations of vibrational modes by absorption of (infrared
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  • ...rofessor emeritus in 1971. He wrote many papers on [[atomic structure]], [[quantum mechanics]], [[Brownian motion]], and [[nuclear physics]].
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  • ...ntenmechanik'' (On the hydrogen spectrum from the point of view of the new quantum mechanics). Zeitschrift für Physik, vol. '''36''' p. 336 (1926)</ref>. Erwin Schröd ...(atom or molecule) and an external [[electric field]]. Before turning to quantum mechanics we describe the interaction
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  • ...nal book on [[quantum mechanics]].<ref>P. A. M. Dirac, ''The Principles of Quantum Mechanics'', Oxford University Press (1930). Fourth edition 1958. Paperback 1981, p. *A. Messiah, ''Quantum Mechanics'', vol. I. North Holland, Amsterdam (1967), Appendix A
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  • ...ergy of the ''total'' gas (i.e. the energy of all ''N'' molecules). From [[quantum mechanics]] follows that a gas in a finite-size container has [[discreteness|discrete ...nteracting gas molecules were non-identical. However, in the early days of quantum mechanics it was discovered that gas molecules of the same type are identical particl
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  • From [[quantum mechanics]] it is known that a necessary and sufficient condition for the existence o ...books, for instance the book of Messiah,<ref name="Messiah" >A. Messiah, ''Quantum Mechanics'', vol. I, p. 78, North Holland Publishing Company, Amsterdam (1967). Trans
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  • ...certain nonzero value everywhere in a given volume. ...More fundamentally, quantum mechanics predicts ...a correction to the energy called the zero-point energy [that] For a review, see {{cite book |title=Time in Quantum Mechanics |editor=J.G. Muga, R. Sala Mayato and Í.L. Egusquiza, editors |pages=pp. 7
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  • In quantum mechanics the notion of ''[[complementarity]]'' arises, that is, different aspects of
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  • ===Quantum mechanics===
    15 KB (2,506 words) - 05:16, 11 May 2011
  • In [[classical mechanics]] and [[quantum mechanics]], a '''rigid rotor''' is a 3-dimensional rigid body, such as a [[top]]&md The linear rigid rotor model can be used in [[quantum mechanics]] to predict the rotational energy of a [[diatomic]] molecule. The rotatio
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  • ...relation]] effects by means of Rayleigh-Schrödinger [[perturbation theory (quantum mechanics)|perturbation theory]] (RS-PT), usually to second (MP2), third (MP3) or fou * [[Perturbation theory (quantum mechanics)]]
    10 KB (1,419 words) - 20:40, 10 February 2010
  • [[Quantum mechanics]] is often formulated in the so-called ''X''-representation in which [[wav
    13 KB (1,900 words) - 10:49, 30 November 2009
  • In [[quantum mechanics]], a '''Slater determinant''' is a simple approximate expression for a [[w
    11 KB (1,582 words) - 07:52, 23 September 2009
  • In [[quantum mechanics]], '''angular momentum coupling''' is the procedure of constructing [[eigen * {{cite book |last= Edmonds |first= A. R. |title= Angular Momentum in Quantum Mechanics |year= 1957
    21 KB (3,338 words) - 10:45, 11 June 2009
  • * [[Solid-state physics]] and [[quantum mechanics]], for the understanding of the electronic, thermal, magnetic, chemical, st
    11 KB (1,457 words) - 03:51, 1 November 2010
  • Note that some authors, especially those working in [[quantum mechanics]], may define an inner product to be anti-linear in the first slot and line
    3 KB (511 words) - 00:25, 20 February 2010
  • In [[quantum mechanics]], the '''Clebsch-Gordan coefficients''' (CG coefficients) are sets of numb
    11 KB (1,759 words) - 10:02, 2 August 2008
  • ...es that no particles can ever have an exact position...More fundamentally, quantum mechanics predicts ... a correction to the energy called the zero-point energy [that]
    10 KB (1,488 words) - 12:29, 16 November 2011
  • ...ed by ''[[waves]]'' through space, as one of the important principles of [[quantum mechanics]] states that beams of (sub)atomic particles can be seen as consisting of w
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  • Before the advent of quantum mechanics, angular momentum did not play an important role in physics, as is witness ...quantum)|this article]] for the definition and role of angular momentum in quantum mechanics.
    23 KB (3,890 words) - 10:45, 11 June 2009
  • ...and an attractive part. The repulsive part is mainly due to the typical [[quantum mechanics|quantum mechanical effect]] of intermolecular [[electron exchange]]. The at
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  • ...Dirac]] was able to weave the photon concept into the fabrics of the new [[quantum mechanics]] and to describe the interaction of photons with matter.<ref>P. A. M. Di ...ion it was estimated to be 2.1·10<sup>&minus;10</sup> J/m<sup>3</sup>. Is quantum mechanics needed to describe the broadcasting of this station?
    23 KB (3,635 words) - 05:33, 1 April 2024
  • ...cancer, through effects that he claims are based on the same principles as quantum mechanics, although Chopra does not guarantee this healing to any patient. This has l
    13 KB (1,984 words) - 10:34, 14 March 2023
  • In [[quantum mechanics]] and [[quantum chemistry]], an '''atomic orbital''' is a function of an el
    14 KB (2,265 words) - 05:37, 6 March 2024
  • ...''' can be very complicated. For example, it may involve introduction of [[quantum mechanics]] and [[statistical mechanics]] as studied in the field of [[condensed matt
    9 KB (1,330 words) - 16:37, 31 March 2011
  • ...ok.</ref> a radical solution to the problem, 'What is life?' could be that quantum mechanics enabled life to [[Emergence (biology)|emerge]] directly from the atomic wor ...or atom for example."''</font>'''<ref name=daviesnat05/> He asserts that quantum mechanics can thus make discrete 'genetic' information.
    17 KB (2,563 words) - 15:36, 28 June 2012
  • For a discussion see {{cite book |title=The theory of groups and quantum mechanics |author=Hermann Weyl |isbn=0486602699 |year=1950 |publisher=Courier Dover P
    7 KB (1,096 words) - 05:49, 17 October 2013
  • ...o known as antisymmetrizing operator<ref>P.A.M. Dirac, ''The Principles of Quantum Mechanics'', 4th edition, Clarendon, Oxford UK, (1958). ISBN 0-19-852011-5 p. 248</re
    15 KB (2,353 words) - 17:42, 9 December 2008
  • ...ithin [[mathematics]] or [[physics]]). In particular, the application of [[quantum mechanics]] to chemistry is called [[quantum chemistry]]. Since the end of the [[Seco ...ational chemistry]] for more details). Hence a detailed understanding of [[quantum mechanics]] is not primarily necessary for most chemistry, as the important implicati
    22 KB (3,142 words) - 09:01, 4 May 2024
  • ...>\scriptstyle \hbar\,</math> is [[Planck's constant]] divided by 2&pi;. In quantum mechanics the momentum operator is proportional to the gradient, <math>\scriptstyle \
    16 KB (2,612 words) - 09:02, 9 February 2010
  • '''Crystal field theory''' is a [[quantum mechanics|quantum mechanical]] theory for the explanation of magnetic properties and In quantum mechanics a symmetry operation, such as a rotation around an axis, reflection in a pl
    15 KB (2,390 words) - 10:11, 5 February 2010
  • ...e study of black-body radiation was an integral step in the formulation of quantum mechanics.
    4 KB (537 words) - 09:19, 11 September 2022
  • ...></ref> He resolved the difficulties of Rutherford's model by making the [[quantum mechanics|non-classical]] assumption that there were only discrete and stationary ene ...decade later to [[Heisenberg]]'s matrix mechanics and [[Schrödinger]]'s [[quantum mechanics|wave mechanics]].
    18 KB (2,789 words) - 20:34, 27 October 2020
  • ...echanics the word motion relates to a ''time-dependent'' trajectory. Since quantum mechanics accounts for the (non-zero) kinetic energy of particles the word motion is .... Hund, ''Allgemeine Quantenmechanik des Atom- und Molekelbaues'' [General quantum mechanics of the atom and molecule structure], Handbuch der Physik, 2nd Ed., vol. '''
    20 KB (3,082 words) - 17:39, 9 December 2008
  • ...in a wide range of applications. Although it relies on some interesting [[quantum mechanics]] to operate, its basic principles are easily explained.
    9 KB (1,370 words) - 08:18, 12 September 2013
  • ...thin [[mathematics]] or [[physics]]). In particular, the application of [[quantum mechanics]] to chemistry is called [[quantum chemistry]]. Since the end of the [[Sec ...ational chemistry]] for more details). Hence a detailed understanding of [[quantum mechanics]] is not primarily necessary for most chemistry, as the important implicati
    23 KB (3,309 words) - 09:41, 6 March 2024
  • {{cite book |title=Analytical Mechanics for Relativity and Quantum Mechanics |pages=pp. 318 'ff'' |chapter=§14.4: What is a coordinate system? |author= ...the preface to {{cite book |title=Analytical Mechanics for Relativity and Quantum Mechanics |url=http://www.amazon.com/Analytical-Mechanics-Relativity-Quantum-Graduate
    29 KB (4,366 words) - 09:10, 26 March 2011
  • ...dash;H bond and perpendicular to it. It is one of the basic assumptions in quantum mechanics that wave functions show the symmetry of the system. [Technically: solution
    8 KB (1,408 words) - 09:47, 24 April 2010
  • ...s to experimental physics. As a theoretician, he contributed decisively to quantum mechanics: [[Fermi-Dirac statistics]], the interaction between matter and [[electroma
    7 KB (1,048 words) - 13:18, 15 March 2024
  • ...etext, many branches of Science were attacked ([[Theory of relativity]], [[Quantum mechanics]], [[Genetics]], [[Cybernetics]], etc.). With Axiom 4, no dialectics, no [[ </ref>, aiming the application to [[Quantum Mechanics]] and its relation to the [[classical mechanics]]. However, the principle i
    12 KB (1,761 words) - 04:36, 4 September 2014
  • ...for his fundamental contributions to understanding atomic structure and [[quantum mechanics]].
    4 KB (516 words) - 05:11, 31 May 2009
  • ...y]].<ref>[[General relativity]] is a theory of [[gravity]], but it ignores quantum mechanics (Joan Baez, (2006) University California Davis)</ref> Since quantum field
    18 KB (2,817 words) - 20:15, 27 October 2020
  • ...e's reduction]]" for the elements.<ref>H. Weyl, ''The Theory of Groups and Quantum Mechanics'', Dover (1950)</ref>
    8 KB (1,209 words) - 08:09, 28 September 2013
  • {{cite book |title=Quantum mechanics: fundamentals |author=Kurt Gottfried, Tung-mow Yan |url=http://books.google ...on is explained masterfully in {{cite book |title=The theory of groups and quantum mechanics |author=Hermann Weyl |isbn=0486602699 |year=1950 |publisher=Courier Dover P
    20 KB (3,045 words) - 11:21, 29 June 2011
  • In determining the behavior of the carriers using [[quantum mechanics]], the ''envelope approximation'' usually is used in which the [[Schröding
    12 KB (1,810 words) - 11:41, 18 June 2012
  • </ref> In modern quantum mechanics the Bohr radius is the distance of maximum likelihood for finding the elect
    13 KB (1,945 words) - 19:19, 1 June 2022
  • In [[quantum mechanics]] spherical harmonics appear as eigenfunctions of (squared) [[Angular momen ...c Spectra'', Cambridge University Press, Cambridge UK (1935).</ref> In the quantum mechanics community, it is common practice to either include this [[phase factor]] in
    34 KB (5,282 words) - 14:21, 1 January 2011
  • ...echanical background of the molecular dipole. Readers without knowledge of quantum mechanics are advised to skip this section.</font>
    17 KB (2,690 words) - 01:15, 22 September 2009
  • ...hysics]], as well as in [[quantum chemistry]], '''molecular [[Hamiltonian (quantum mechanics)|Hamiltonian]]''' is the name given to the operator that represents the [[ In quantum mechanics a free particle has as state function a plane wave function, which is a no
    31 KB (4,757 words) - 02:20, 27 October 2013
  • ...}}</ref>Such oxidation produces 5-hydroxymethyluracil and 5-formyluracil. Quantum mechanics calculations show that 5-formyluracil can also base pair with adenine,<ref>
    4 KB (593 words) - 13:27, 19 June 2008
  • ...consecutive, steps. This approximation was proposed in the early days of quantum mechanics by [[Max Born|Born]] and [[Robert Oppenheimer|Oppenheimer]] (1927) and is i ...ximation|url=http://www.eng.fsu.edu/~dommelen/quantum/style_a/bo.html|work=Quantum Mechanics for Engineers|publisher=FAMU-FSU College of Engineering|accessdate=8 Novemb
    20 KB (3,194 words) - 03:34, 8 November 2013
  • ...nger's wave equation]]. As such it is often encountered in introductory [[quantum mechanics]] material as a demonstration of the [[quantization (physics)|quantization] ...ting wavefunctions are given by<ref>[[Albert Messiah|A. Messiah]] (1999) ''Quantum Mechanics: Two volumes bound as one'' ISBN 0486409244</ref>
    16 KB (2,810 words) - 11:31, 5 April 2011
  • ...athematische Grundlagen der Quantenmechanik'', [Mathematical foundation of quantum mechanics] Springer, Berlin (1932)</ref> to a quantum statistical definition. The qua ...anics]]. Since the 1920s statistical thermodynamics is based usually on [[quantum mechanics]].
    36 KB (5,928 words) - 10:21, 8 July 2019
  • ...at AP means; an American term I guess). Non-popular sources on things like quantum mechanics will be hard to understand for high school or college students.
    11 KB (1,841 words) - 15:30, 14 August 2009
  • <td rowspan="1"> For the creation of quantum mechanics <td rowspan="1"> For research in quantum mechanics, for statistical interpretation of wavefunction
    30 KB (3,679 words) - 09:07, 12 October 2013
  • ...phenomenon of diffraction can also be understood through the principles of quantum mechanics. [[Heisenberg Uncertainty Principle|Heisenberg's uncertainty principle]] st
    12 KB (2,005 words) - 19:28, 10 September 2021
  • ...eld. The underlying effects can strictly be described only by the means of quantum mechanics. Nevertheless it is possible to imagine the mechanism via classical analogi
    5 KB (764 words) - 13:40, 28 July 2010
  • ...[[electronegativity]]) to very detailed computer calculations based upon [[quantum mechanics]]. ..., liquid, and gaseous [[aggregation state]]s. Covalent bonding requires [[quantum mechanics]] for an explanation and deeper understanding.
    37 KB (5,836 words) - 05:36, 6 March 2024
  • [[Quantum mechanics]] postulates that it is impossible to predict at which point in time a give
    5 KB (827 words) - 17:02, 22 March 2024
  • ==Energy in quantum mechanics== ...the harmonic oscillator; ''h'' &nu; has the dimension energy. According to quantum mechanics it is impossible for the harmonic oscillator to have an energy equal to, e.
    43 KB (7,032 words) - 15:15, 15 August 2022
  • In such a way the [[power function]] is interpreted in [[quantum mechanics]]; for example, <math>\hat p^n \psi</math> refers to iterative applicatio
    8 KB (1,339 words) - 13:11, 8 August 2021
  • ...efficients occur. For instance, the study of very small phenomena using [[quantum mechanics]] requires the use of [[complex numbers]]. [[Error-correcting code]]s, use
    8 KB (1,242 words) - 02:01, 10 November 2009
  • ...anding of free radical chemistry requires understanding many concepts from quantum mechanics and quantum chemistry, among which include: ...ctrons occupy in molecules. '''<font color=#330066><i>"The recognition by quantum mechanics that an electron distribution has "color" is one of the reasons for the suc
    31 KB (4,638 words) - 18:09, 29 October 2017
  • ==Historical background and the need for quantum mechanics== ...or by the "old" quantum theory. Soon after the formulation of the "new" [[quantum mechanics]] the pieces of the puzzle fell together and all open questions regarding
    56 KB (8,720 words) - 07:31, 20 April 2024
  • ...explanation. The now following exposition assumes some basic knowledge of quantum mechanics; readers who lack this are advised to skip the remainder of this section.
    20 KB (3,081 words) - 21:57, 31 March 2022
  • In [[Quantum mechanics]], function <math>A</math> may have sense of the [[wave function]] in the [
    11 KB (1,589 words) - 08:58, 9 September 2020
  • ...m mechanics]]. There are a number of ways of formulating the basic laws of quantum mechanics, but here we consider just one: the [[Schrödinger equation]], discovered b
    20 KB (3,304 words) - 17:11, 25 August 2013
  • In [[quantum mechanics]], a '''symmetrizer''' <font style="vertical-align: text-top"> <math> \math
    11 KB (1,655 words) - 09:52, 22 January 2009
  • ...Bodenhausen and Alexander Wokaun, Clarendon Press, Oxford, 1987. (Heavy on Quantum mechanics, not for the faint of heart!)
    32 KB (5,116 words) - 04:54, 21 March 2024
  • ...rising matter ceases and they are at complete rest in the “classic” (non-[[Quantum mechanics|quantum mechanical]]) sense. By definition, absolute zero is a temperature
    23 KB (3,670 words) - 05:52, 15 March 2024
  • ...e exact distribution of charge within assemblies of atoms is found using [[quantum mechanics]] and the resulting electrical forces lead to molecules and solids, as stud
    21 KB (3,138 words) - 05:36, 6 March 2024
  • ...nner product spaces of infinite dimension and are of great importance in [[quantum mechanics]].
    12 KB (1,903 words) - 10:57, 2 February 2009
  • ...cs]] article aimed at a lower level (Old high level article moved to the [[Quantum mechanics/Advanced|Advanced subpage]]). Now contemplating doing a similar move of [[ *[[User:J. Noel Chiappa|Noel]] suffered a bit of [[quantum mechanics|quantum uncertainty]] and tunneled through into Wednesday from Tuesday. [[U
    25 KB (3,941 words) - 05:06, 8 March 2024
  • ...ctronic states involved, as [[Niels Bohr]] discovered in the early days of quantum mechanics (1913).
    19 KB (2,983 words) - 05:36, 6 March 2024
  • ...ctronic states involved, as [[Niels Bohr]] discovered in the early days of quantum mechanics (1913).
    19 KB (2,982 words) - 05:36, 6 March 2024
  • ...cists believe it has been physically established that the probabilities of quantum mechanics couldn't explain the behavior of the fundamental constituents of matter (an
    29 KB (4,229 words) - 10:21, 19 June 2012
  • ...]] charges, for instance, by charges oscillating in a radio antenna. [[quantum mechanics|Quantum mechanically]], EM radiation is seen as a beam of energy parcels ([
    25 KB (3,994 words) - 17:54, 17 April 2010
  • ...imilar to Fourier series versus Fourier transform). This is important in [[quantum mechanics]], since the one-dimensional [[Schrödinger equation]] is a special case of
    15 KB (2,332 words) - 04:52, 18 October 2009
  • ...e is no classical-physics explanation of it. Therefore, some knowledge of quantum mechanics is prerequisite to the reading of this article. Further [[Schönflies]] not
    21 KB (3,426 words) - 23:58, 27 October 2013
  • ...but which we know how to use."<ref name=Pinker/> These reservations about quantum mechanics appear to seek something more than a world picture, what might be called ''
    44 KB (6,711 words) - 20:01, 11 October 2013
  • ...matical physicist who made important contributions to the development of [[quantum mechanics]].</onlyinclude> Shortly after his arrival in Munich, Edward jumped off a m ...] to do his Ph.D. work under [[Werner Heisenberg]], one of the founders of quantum mechanics, who a year earlier had been appointed in Leipzig to the chair of theoretic
    28 KB (4,424 words) - 07:32, 20 April 2024
  • ...al relativity]], and in particular that what physicists have learned about quantum mechanics provides a compelling case for abandoning certain familiar principles of cl
    32 KB (4,979 words) - 21:47, 12 November 2011
  • ...''j'') or negative (antiparallel).<ref>L. D. Landau and E. M. Lifshitz, ''Quantum Mechanics'', 2nd ed., Pergamon Press, Oxford, (1965), p. 452</ref> The angular momen
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  • ...ervene atomic behavior. But the explanation of these factors lies within [[quantum mechanics]], which does not use the term "bond" at all, and describes all chemistry i ...without introduction of approximations that often are not justified using quantum mechanics alone. In fact, the intuitions of chemists about the formation of complex m
    47 KB (6,881 words) - 10:00, 14 July 2015
  • ...eral]] theories of relativity, and made important contributions to both [[quantum mechanics|quantum theory]] and [[statistical mechanics]]. While best known for the [[ ...ntum phenomenon, and Einstein became somewhat disenchanted with the path [[quantum mechanics|quantum theory]] would take.
    69 KB (10,580 words) - 15:14, 4 April 2024
  • ...to branches of sciences involving symmetry principles, such as relativity, quantum mechanics, [[particle physics]], chemistry, computer graphics, and others.
    19 KB (3,074 words) - 11:11, 13 February 2009
  • ...i]], [[Isaac Newton]], and [[Albert Einstein]], and the main creators of [[quantum mechanics]], [[Werner Heisenberg]], [[Erwin Schrödinger]], and [[Paul A. M. Dirac]]. ...t a solution of this paradox. A simple-minded answer is that, according to quantum mechanics, individual molecules are indistinguishable, so that the demon cannot see i
    35 KB (5,571 words) - 12:27, 6 September 2013
  • ...e electron transfer occur? A precise answer requires an understanding of [[quantum mechanics]], which reveals that oxygen atoms have a much greater 'affinity' for elect
    16 KB (2,492 words) - 16:30, 7 August 2012
  • ...matical models of many physical phenomena, including electro-magnetism and quantum mechanics. Even so, it is still often difficult to find examples where an equivalent
    18 KB (3,028 words) - 17:12, 25 August 2013
  • ...ivity]], which he studied under the teaching of [[Albert Einstein]], and [[quantum mechanics]]. ...ced Carnap's [[inductive logic]] and [[Reichenbach]]'s interpretation of [[quantum mechanics]], in which Reichenbach employed a three-valued propositional calculus. He
    30 KB (4,343 words) - 13:59, 18 February 2024
  • ...pace]]s of functions. One of many applications of functional analysis is [[quantum mechanics]]. Many problems lead naturally to relationships between a quantity and its
    30 KB (4,289 words) - 16:03, 20 January 2023
  • ...pper also wrote extensively against the [[Copenhagen interpretation]] of [[quantum mechanics]]. He strongly disagreed with [[Niels Bohr]]'s [[instrumentalism]], and sup
    31 KB (4,648 words) - 05:07, 26 October 2013
  • ...falsifiable. He also argued against the [[Copenhagen interpretation]] of [[quantum mechanics]]. He disagreed with [[Niels Bohr]]'s [[instrumentalism]] and supported [[A
    17 KB (2,568 words) - 12:39, 25 January 2011
  • ...i]], [[Isaac Newton]], and [[Albert Einstein]], and the main creators of [[quantum mechanics]], [[Werner Heisenberg]], [[Erwin Schrödinger]], and [[Paul A. M. Dirac]]. ...t a solution of this paradox. A simple-minded answer is that, according to quantum mechanics, individual molecules are indistinguishable, so that the demon cannot see i
    35 KB (5,595 words) - 12:26, 6 September 2013
  • ...e latter, two remaining unpaired. For reasons requiring considerations of quantum mechanics, a hydrogen atom behaves as if it 'needed' one more electron to pair up wit
    24 KB (3,756 words) - 01:56, 29 April 2021
  • Quantum mechanics interprets measurements of light intensity as [[photon]] counting. The natu
    46 KB (6,956 words) - 07:01, 9 June 2009
  • ...wn as [[determinism]]. Some have argued that the probabilistic nature of [[quantum mechanics]] opens a door to a randomness in human behavior, which is foreign to human In quantum mechanics the notion of ''[[complementarity]]'' arises, that is, different aspects of
    93 KB (14,229 words) - 19:42, 6 February 2016
  • ...to form the depletion layer. This dipole formation is not only a result of quantum mechanics at a discontinuity between solids, but chemical processes involving the ato
    31 KB (4,880 words) - 08:51, 25 October 2013
  • ...irus]], [[Omsk Hemorrhagic fever]] and [[Yellow fever]]. I also dabble in quantum mechanics calculations involving the base pairing of oxidized or otherwise damaged DN
    21 KB (2,958 words) - 05:06, 8 March 2024
  • ...arate articles like ''Complex numbers in physics'' or ''Complex numbers in quantum mechanics'' or ''History of complex numbers'', or try to put everything in the main a
    44 KB (7,312 words) - 03:09, 8 March 2024
  • ...of the [[universe]] have been challenged by new scientific discoveries. [[Quantum mechanics]], particularly, examines phenomena that seem to defy our most basic postul
    30 KB (4,465 words) - 11:44, 2 February 2023
  • ...chemistry]], [[neurobiology]], [[marine biology]], [[DNA]] science, and [[quantum mechanics]]. All courses at TJHSST are taught at the Honors/GT, [[Advanced Placement]
    34 KB (5,059 words) - 08:39, 22 April 2024
  • ...o subjects as diverse as artificial intelligence and the interpretation of quantum mechanics. [Emphasis added]</ref> The conscious mind, a physical machine, but only i
    52 KB (7,604 words) - 09:00, 28 April 2024
  • ...ive-time-travel-romantic-comedy-epic, mainly concerned with mud, music and quantum mechanics."<ref>{{cite book|author=[[Neil Gaiman|Gaiman, Neil]] | title=Don't Panic:
    49 KB (7,935 words) - 07:31, 20 April 2024
  • ...1976) was one of the physicists responsible for developing the theory of [[quantum mechanics]] (which so far resisted logical unification with general relativity). In a
    60 KB (9,261 words) - 15:41, 23 September 2013
  • ...1976) was one of the physicists responsible for developing the theory of [[quantum mechanics]] (which so far resisted logical unification with general relativity). In a
    64 KB (9,985 words) - 12:27, 24 March 2022
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