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 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх