Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 65
... Hermitian operators L and M , such that L M = ML , show that if M is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that ei * is unitary . = 6. If L , L , L , are as given in Exercise ...
... Hermitian operators L and M , such that L M = ML , show that if M is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that ei * is unitary . = 6. If L , L , L , are as given in Exercise ...
Página 70
... Hermitian operator . Theorem a . The eigenvalues of a Hermitian operator are 70 SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM Eigenvectors and Eigenvalues The Spectral Representation of an Operator Theorems on Hermitian Operators.
... Hermitian operator . Theorem a . The eigenvalues of a Hermitian operator are 70 SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM Eigenvectors and Eigenvalues The Spectral Representation of an Operator Theorems on Hermitian Operators.
Página 297
... Hermitian adjoint of matrix , 56 , 80 , 103-104 Hermitian matrix , 64 Hermitian operator , 70 eigenvalues of , 71 , 104 eigenvectors for , 105 theorems on , 70-72 Hilbert , D. , 175 , 210 , 224 Hildebrand , F. B. , 232 Hobson , E. W. ...
... Hermitian adjoint of matrix , 56 , 80 , 103-104 Hermitian matrix , 64 Hermitian operator , 70 eigenvalues of , 71 , 104 eigenvectors for , 105 theorems on , 70-72 Hilbert , D. , 175 , 210 , 224 Hildebrand , F. B. , 232 Hobson , E. W. ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх