Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 28
... denoted λ ,, with i taking on a value for each distinct eigen- value , and let the corresponding eigencolumns be denoted s ... It will be assumed that these eigencolumns are linearly dependent and it will be shown that this assumption ...
... denoted λ ,, with i taking on a value for each distinct eigen- value , and let the corresponding eigencolumns be denoted s ... It will be assumed that these eigencolumns are linearly dependent and it will be shown that this assumption ...
Página 67
... denoted by li > and are called base ket vectors , or simply base kets . The base vectors in the dual space , ut , are called base bra vectors , or base bras , and are denoted by < il , the mirror image of the symbol for the base kets ...
... denoted by li > and are called base ket vectors , or simply base kets . The base vectors in the dual space , ut , are called base bra vectors , or base bras , and are denoted by < il , the mirror image of the symbol for the base kets ...
Página 68
... denoted by < ix > in the Dirac notation . Similarly , multiplication of ( 5.1 ) by < x from the left yields which corresponds to the expression < x ] = < x / i > < i | x + = Στα ( 5.4 ) ( 4.7 ) in the old notation . Hence , it follows ...
... denoted by < ix > in the Dirac notation . Similarly , multiplication of ( 5.1 ) by < x from the left yields which corresponds to the expression < x ] = < x / i > < i | x + = Στα ( 5.4 ) ( 4.7 ) in the old notation . Hence , it follows ...
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