Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página v
... reader is introduced to approximation methods ( perturbation theory , variational methods , and numerical methods ) needed in treating most of the problems of nature which confront the applied physicist . Certain background and ...
... reader is introduced to approximation methods ( perturbation theory , variational methods , and numerical methods ) needed in treating most of the problems of nature which confront the applied physicist . Certain background and ...
Página 22
... reader , this definition yields the following result for f ( A ) u : 00 f ( A ) u = = Σ 1 d " f n = on ! dx " ( A - al ) " u - Σ 1 d " f n ! dx " ( î — a ) ” u From ( 2.5 ) it follows that f ( A ) u = f ( λ ) u ( 2.8 ) The result given ...
... reader , this definition yields the following result for f ( A ) u : 00 f ( A ) u = = Σ 1 d " f n = on ! dx " ( A - al ) " u - Σ 1 d " f n ! dx " ( î — a ) ” u From ( 2.5 ) it follows that f ( A ) u = f ( λ ) u ( 2.8 ) The result given ...
Página 38
... reader is acquainted with the elements of complex variable theory . A summary of some useful results is given in Appendix 1C . ' Z - A is understood to mean ZI – A where I and A are square matrices of the same order and Z is a scalar ...
... reader is acquainted with the elements of complex variable theory . A summary of some useful results is given in Appendix 1C . ' Z - A is understood to mean ZI – A where I and A are square matrices of the same order and Z is a scalar ...
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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Términos y frases comunes
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