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 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх