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Perturbation of Eigenvalues
Solution for Diagonalizable Matrices
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applied approximate arbitrary base basis becomes boundary conditions called chap chapter clear Clearly column commute complete consider constant continuous coordinates corresponding defined definition demonstrated denoted derived determinant diagonal differential equation Dirac domain eigencolumns eigenfunctions eigenvalues eigenvectors elements equal equation evaluate example Exercises exists expansion expression finite follows formula function further given Green's function Hence Hermitian indicated infinite integral introduced inverse known limit matrix means method multiplication nonsingular normal notation Note obtained orthonormality Physics problem procedure Quantum Mechanics reader relation representation represented result satisfies scattering seen shown solution solve Step Substitution suppose theorem tion transform unique unit vanish variable vector Verify wave whence write written yields York zero