Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 191
... approximation ( 13.62 ) , the scattering amplitude f ( 0,9 ) is easily obtained . Thus , setting inc = ei * , one ... approximation . In the special case when u ( r ' ) is spherically symmetric , Eq . ( 13.64 ) takes on the simpler form ...
... approximation ( 13.62 ) , the scattering amplitude f ( 0,9 ) is easily obtained . Thus , setting inc = ei * , one ... approximation . In the special case when u ( r ' ) is spherically symmetric , Eq . ( 13.64 ) takes on the simpler form ...
Página 192
... approximation , the waves scattered by each scattering center ( i.e. , the outgoing waves ) may be considered to be independent of the presence of the other scatterers . This approximation is certainly valid if the incident wave at the ...
... approximation , the waves scattered by each scattering center ( i.e. , the outgoing waves ) may be considered to be independent of the presence of the other scatterers . This approximation is certainly valid if the incident wave at the ...
Página 238
... approximation to the exact value 2. This result is astonishingly good considering the nature of the approximation and the amount of labor involved . For n = 3 , h = 1/3 , Eq . ( 18.4 ) reduces to 1362 - 2 1 1 1-2 | - : 0 The solutions ...
... approximation to the exact value 2. This result is astonishingly good considering the nature of the approximation and the amount of labor involved . For n = 3 , h = 1/3 , Eq . ( 18.4 ) reduces to 1362 - 2 1 1 1-2 | - : 0 The solutions ...
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