Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 65
... Hermitian operators L and M , such that LM = show that if is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that er is unitary . 2 6. If L , L , L , are as given in Exercise 5 of Chap ...
... Hermitian operators L and M , such that LM = show that if is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that er is unitary . 2 6. If L , L , L , are as given in Exercise 5 of Chap ...
Página 70
... operator which satisfies the condition called a Hermitian operator . = + is Theorem a . The eigenvalues of a Hermitian operator are 70 SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM Eigenvectors and Eigenvalues Theorems on Hermitian ...
... operator which satisfies the condition called a Hermitian operator . = + is Theorem a . The eigenvalues of a Hermitian operator are 70 SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM Eigenvectors and Eigenvalues Theorems on Hermitian ...
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
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