Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 203
... eigenvalue equation Lf = λf ̧ ( 14.3 ) and its associated boundary conditions , and there also exists a nontrivial eigenvector g , which satisfies the eigenvalue equation L + g1 = $ , & r ( 14.7 ) with the same boundary conditions , at ...
... eigenvalue equation Lf = λf ̧ ( 14.3 ) and its associated boundary conditions , and there also exists a nontrivial eigenvector g , which satisfies the eigenvalue equation L + g1 = $ , & r ( 14.7 ) with the same boundary conditions , at ...
Página 207
... eigenvalue equation when the eigenvalue of the unperturbed equation is n - fold degenerate . The nature of the difficulty posed by this degeneracy is ... equation analogous to ( 14.4 ) , PERTURBATION OF EIGENVALUES 207 Degenerate Eigenvalues.
... eigenvalue equation when the eigenvalue of the unperturbed equation is n - fold degenerate . The nature of the difficulty posed by this degeneracy is ... equation analogous to ( 14.4 ) , PERTURBATION OF EIGENVALUES 207 Degenerate Eigenvalues.
Página 208
Gerald Goertzel, Nunzio Tralli. In constructing the equation analogous to ( 14.4 ) , one must incorporate explicitly the arbitrariness of the choice for the fo ) . Therefore write , as the eigenvalue equation for the perturbation ...
Gerald Goertzel, Nunzio Tralli. In constructing the equation analogous to ( 14.4 ) , one must incorporate explicitly the arbitrariness of the choice for the fo ) . Therefore write , as the eigenvalue equation for the perturbation ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх