Photon: Difference between revisions
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In [[physics]], a '''photon''' is an [[elementary particle]] associated with an [[electromagnetic wave]]. | In [[physics]], a '''photon''' is an [[elementary particle]] associated with an [[electromagnetic wave]]. | ||
Given an electromagnetic wave with [[wavelength]] λ, its [[frequency]] ν is inversely proportional to λ: ν = ''c''/λ, where ''c'' is the [[speed of light]] (≈ 3·10<sup>8</sup> m/s). A photon is a light quantum with energy ''E'' and momentum '''p''' associated with an electromagnetic wave of wavelength λ and frequency ν=''c''/λ: | |||
:<math> | :<math> | ||
E = h \nu, \quad \mathbf{p} = \hbar \mathbf{k},\quad\mathrm{and}\quad |\mathbf{k}| = \frac{2\pi}{\lambda}, | E = h \nu, \quad \mathbf{p} = \hbar \mathbf{k},\quad\mathrm{and}\quad |\mathbf{k}| = \frac{2\pi}{\lambda}, | ||
</math> | </math> | ||
where ''h'' is [[Planck's constant]], ħ ≡ h/(2π) ≈ 1.055·10<sup>−34</sup> Js, and '''k''' is the [[wave vector]], a vector pointing in the direction of the propagation of the wave. Although a photon has linear [[momentum]], it does ''not'' have [[rest mass]]. | where ''h'' is [[Planck's constant]], ħ ≡ h/(2π) ≈ 1.055·10<sup>−34</sup> Js, and '''k''' is the [[wave vector]], a vector pointing in the direction of the propagation of the wave. Although a photon has linear [[momentum]], it does ''not'' have [[rest mass]].<ref>This is unexpected, because in classical mechanics linear momentum of a particle is proportional to the mass of the particle.</ref> | ||
The first to see that the electromagnetic field consists of energy parcels (light quanta) was [[Albert Einstein]] in 1905.<ref>A. Einstein, ''Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt'' [On a heuristic point view regarding the creation and conversion of light], Annalen der Physik, vol. '''17''', pp. 132 - 148, | The first to see that the electromagnetic field consists of energy parcels (light quanta) was [[Albert Einstein]] in 1905.<ref>A. Einstein, ''Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt'' [On a heuristic point view regarding the creation and conversion of light], Annalen der Physik, vol. '''17''', pp. 132 - 148, | ||
[http://dx.doi.org/10.1002/andp.19053220607 online]. </ref> [[Max Planck]], five years earlier, assumed in his theory of [[blackbody radiation]] that a black body consists of material oscillators, and had made the revolutionary step that the energies of these oscillators are discrete, i.e., integral multiples of small energies—quanta. But Planck had not yet made the step to a quantized radiation field. | [http://dx.doi.org/10.1002/andp.19053220607 online]. </ref> [[Max Planck]], five years earlier, assumed in his theory of [[blackbody radiation]] that a black body consists of material oscillators, and had made the revolutionary step that the energies of these oscillators are discrete, i.e., integral multiples of small energies—quanta. But Planck had not yet made the step to a quantized radiation field. | ||
In 1923 [[Arthur Compton]] scattered X- | In 1923 [[Arthur Compton]] scattered [[X-ray]]s off electrons and showed that the light quanta have—in addition to energy—linear [[momentum]].<ref>A. Compton, '' A Quantum Theory of the Scattering of X-rays by Light Elements'', Physical Review, vol. '''21''', pp. 483 - 502 (1923) [http://dx.doi.org/10.1103/PhysRev.21.483 online] </ref> Three years later, in 1926, [[Gilbert N. Lewis]] proposed the name photon for a "particle of light"—a light quantum.<ref>G. N. Lewis, ''The conservation of photons'', Nature vol. '''118''', pp. 874-875 [http://dx.doi.org/doi:10.1038/118874a0 online]</ref> This was the same year that [[Erwin Schrödinger]] proposed his [[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. Royal Society (London), ''The Quantum Theory of the Emission and Absorption of Radiation'', vol. '''A114''', p. 243 (1927)</ref> was able to fit the concept of the light quantum (photon) in the framework of the new theory. | ||
Dirac quantized the | In his 1927 paper Dirac [[quantization|quantized]] the electromagnetic radiation field, which means that he re-interpreted the classical electric and magnetic fields as quantum mechanical [[operator]]s with well-defined [[commutation relation]]s. The commutation relations of the field operators are those of [[boson]]s, particles of integer spin and he showed that photons have indeed integer spin ''S'' = 1. The spin multiplicity 2''S''+1 = 3 is given by two components corresponding to the two [[polarization]] directions of the electromagnetic wave and the third spin component corresponds to the propagation direction '''k'''. | ||
:''See for more details: [[Electromagnetic_wave#Quantization_of_the_electromagnetic_field|EM field quantization]].'' | :''See for more details: [[Electromagnetic_wave#Quantization_of_the_electromagnetic_field|EM field quantization]].'' | ||
Revision as of 03:50, 27 November 2009
In physics, a photon is an elementary particle associated with an electromagnetic wave.
Given an electromagnetic wave with wavelength λ, its frequency ν is inversely proportional to λ: ν = c/λ, where c is the speed of light (≈ 3·108 m/s). A photon is a light quantum with energy E and momentum p associated with an electromagnetic wave of wavelength λ and frequency ν=c/λ:
where h is Planck's constant, ħ ≡ h/(2π) ≈ 1.055·10−34 Js, and k is the wave vector, a vector pointing in the direction of the propagation of the wave. Although a photon has linear momentum, it does not have rest mass.[1]
The first to see that the electromagnetic field consists of energy parcels (light quanta) was Albert Einstein in 1905.[2] Max Planck, five years earlier, assumed in his theory of blackbody radiation that a black body consists of material oscillators, and had made the revolutionary step that the energies of these oscillators are discrete, i.e., integral multiples of small energies—quanta. But Planck had not yet made the step to a quantized radiation field.
In 1923 Arthur Compton scattered X-rays off electrons and showed that the light quanta have—in addition to energy—linear momentum.[3] Three years later, in 1926, Gilbert N. Lewis proposed the name photon for a "particle of light"—a light quantum.[4] This was the same year that Erwin Schrödinger proposed his wave equation, which formed the basis of the new quantum mechanics. It took another year before Paul A.M. Dirac[5] was able to fit the concept of the light quantum (photon) in the framework of the new theory.
In his 1927 paper Dirac quantized the electromagnetic radiation field, which means that he re-interpreted the classical electric and magnetic fields as quantum mechanical operators with well-defined commutation relations. The commutation relations of the field operators are those of bosons, particles of integer spin and he showed that photons have indeed integer spin S = 1. The spin multiplicity 2S+1 = 3 is given by two components corresponding to the two polarization directions of the electromagnetic wave and the third spin component corresponds to the propagation direction k.
- See for more details: EM field quantization.
References
- ↑ This is unexpected, because in classical mechanics linear momentum of a particle is proportional to the mass of the particle.
- ↑ A. Einstein, Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt [On a heuristic point view regarding the creation and conversion of light], Annalen der Physik, vol. 17, pp. 132 - 148, online.
- ↑ A. Compton, A Quantum Theory of the Scattering of X-rays by Light Elements, Physical Review, vol. 21, pp. 483 - 502 (1923) online
- ↑ G. N. Lewis, The conservation of photons, Nature vol. 118, pp. 874-875 online
- ↑ P.A.M. Dirac, Proc. Royal Society (London), The Quantum Theory of the Emission and Absorption of Radiation, vol. A114, p. 243 (1927)