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
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх