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
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх