Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 28
... vanish . Next , the term proportional to aз is annihilated by multiplication with A - λg . 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 - 2m ) ...
... vanish . Next , the term proportional to aз is annihilated by multiplication with A - λg . 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 - 2m ) ...
Página 100
... vanish for xx ' and must be infinite for x = x ' . Thus 8 ( 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 ...
... vanish for xx ' and must be infinite for x = x ' . Thus 8 ( 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 ...
Página 150
... vanish . H , " 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 m Spam Yim Yim d 1 = | G12m | 2 = √ L + Y1mL + Y1m do λη 1 For any two functions u ( 0,9 ) ...
... vanish . H , " 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 m Spam Yim Yim d 1 = | G12m | 2 = √ L + Y1mL + Y1m do λη 1 For any two functions u ( 0,9 ) ...
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