Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 28
... vanish . Next , the term proportional to as is annihilated by multiplication with A - 23 . This process is continued until all terms in the sum ( 2.25 ) have been annihilated except the first ( the last factor needed is clearly A - 2 ) ...
... vanish . Next , the term proportional to as is annihilated by multiplication with A - 23 . This process is continued until all terms in the sum ( 2.25 ) have been annihilated except the first ( the last factor needed is clearly A - 2 ) ...
Página 100
... vanish for xx ' and must be infinite for x = x ' . Thus d ( x − x ' ) is not well defined at x = x ' and is not a function in the conventional meaning of the term . We therefore call it a symbolic function . - The range of integration ...
... vanish for xx ' and must be infinite for x = x ' . Thus d ( x − x ' ) is not well defined at x = x ' and is not a function in the conventional meaning of the term . We therefore call it a symbolic function . - The range of integration ...
Página 150
... vanish . H1 TM must vanish for some other m in order to terminate the sequence at small m . If the yam are normalized such that m for all m , then STAMPAM √ FinVan dQ = 1 Yim | G12 " 12 = f = √ L + P ) L + YλmL + Yλm d 1 For any two ...
... vanish . H1 TM must vanish for some other m in order to terminate the sequence at small m . If the yam are normalized such that m for all m , then STAMPAM √ FinVan dQ = 1 Yim | G12 " 12 = f = √ L + P ) L + YλmL + Yλm d 1 For any two ...
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