# Eigenvalue/Related Articles

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*See also changes related to Eigenvalue, or pages that link to Eigenvalue or to this page or whose text contains "Eigenvalue".*

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- Angular momentum coupling [r]: The procedure of constructing eigenvectors of a system's angular momentum out of angular momentum eigenvectors of its subsystems.
^{[e]} - Characteristic polynomial [r]: The polynomial attached to a square matrix or endomorphism det(A-XI)=0.
^{[e]} - Diagonal matrix [r]: A square matrix which has zero entries off the main diagonal.
^{[e]} - Eckart conditions [r]: Equations describing the conditions under which the vibrations of molecules can be separated from molecular rotations and translations
^{[e]} - Fixed point [r]: A point in the domain of a function that is mapped to itself by the function, i.e., a point
*x*such that*f*(*x*) =*x*.^{[e]} - Hermitian operator [r]: linear operator on an inner product space that is equal to its Hermitian adjoint; also called self-adjoint operator.
^{[e]} - Identity matrix [r]: A square matrix with ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.
^{[e]} - Linear algebra [r]: Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations.
^{[e]} - Linear map [r]: Function between two vector spaces that preserves the operations of vector addition and scalar multiplication.
^{[e]} - Matrix inverse [r]: The equivalent of the reciprocal defined for certain matrices.
^{[e]} - Minimal polynomial [r]: The monic polynomial of least degree which a square matrix or endomorphism satisfies.
^{[e]} - Molecular Hamiltonian [r]: Quantum mechanical operator describing the energy associated with motions and interactions of the electrons and nuclei that constitute a molecule.
^{[e]} - Molecular orbital theory [r]: Deals with definition and computation of molecular orbitals.
^{[e]} - Observable (quantum computation) [r]: A property of the system state that can be determined by some sequence of physical operations.
^{[e]} - Quantum mechanics [r]: An important branch of physics dealing with the behavior of matter and energy at very small scales.
^{[e]} - Rayleigh-Ritz method [r]: also known as linear variation method; used to solve numerically eigenvalue problems and partial differential equations with boundary conditions.
^{[e]} - Reflection (geometry) [r]: In Euclidean geometry, a distance preserving transformation that reverses orientation
^{[e]} - Self-adjoint operator [r]: Linear operator which is identical with its adjoint operator.
^{[e]} - Spherical well [r]: A potential that is constant inside a sphere centered on the origin, and large outside that region.
^{[e]} - Sturm-Liouville theory [r]: A special second order linear ordinary differential equation.
^{[e]} - Trace (mathematics) [r]: Sum of diagonal elements of matrix; for linear operator
*T*, the trace is*Σ*〈_{k}*v*|_{k}*T*|*v*〉 where {_{k}*v*} is an orthonormal basis._{k}^{[e]}