Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 87
... limit , as Ax 0 , of the problem described by Eqs . ( 7.4 ) , ( 7.5 ) , and ( 7.6 ) . The method which has been developed for solving the latter ( discrete ) problem might be expected , in the limit as Ax → 0 , to lead to a procedure ...
... limit , as Ax 0 , of the problem described by Eqs . ( 7.4 ) , ( 7.5 ) , and ( 7.6 ) . The method which has been developed for solving the latter ( discrete ) problem might be expected , in the limit as Ax → 0 , to lead to a procedure ...
Página 89
... Limit ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with the process used in the continuous problem . Discrete ...
... Limit ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with the process used in the continuous problem . Discrete ...
Página 264
Gerald Goertzel, Nunzio Tralli. - If this integral has a limit as → 0 , we call the limit the principal value of I ... limits P 0 , R- → ∞ , the sum of the first and third integrals on the right becomes PI2 , the second integral ...
Gerald Goertzel, Nunzio Tralli. - If this integral has a limit as → 0 , we call the limit the principal value of I ... limits P 0 , R- → ∞ , the sum of the first and third integrals on the right becomes PI2 , the second integral ...
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