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 ...
... 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 ...
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 e → 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 PI1⁄2 , the second integral ...
Gerald Goertzel, Nunzio Tralli. - If this integral has a limit as e → 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 PI1⁄2 , the second integral ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх