Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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... introduced . In Part Three , the 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 ...
... introduced . In Part Three , the 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 ...
Página 96
... introduced in Part One . Thus , it is now convenient to think of a column with elements ƒ¡ as a function f of the discrete variable i and to adopt the notation f ( i ) . Simi- larly , it is now convenient to think of a matrix L with ...
... introduced in Part One . Thus , it is now convenient to think of a column with elements ƒ¡ as a function f of the discrete variable i and to adopt the notation f ( i ) . Simi- larly , it is now convenient to think of a matrix L with ...
Página 100
... introduced by Dirac1 and is known as the Dirac delta function . It is defined equally well by ( 8.11 ) , ( 8.13 ) , or ( 8.14 ) . From these definitions it is evident that d ( x − x ' ) must vanish for xx ' and must be infinite for x ...
... introduced by Dirac1 and is known as the Dirac delta function . It is defined equally well by ( 8.11 ) , ( 8.13 ) , or ( 8.14 ) . From these definitions it is evident that d ( x − x ' ) must vanish for xx ' and must be infinite for x ...
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