Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 183
... Scattering Problem The propagation of a wave of given frequency w and uniform velocity c in free space is described by the wave equation V2 1 22 c2 012 Y ( r , t ) = 0 or by the Helmholtz equation ( V2 + k2 ) y ( r ) = 0 ( 13.35 ) where ...
... Scattering Problem The propagation of a wave of given frequency w and uniform velocity c in free space is described by the wave equation V2 1 22 c2 012 Y ( r , t ) = 0 or by the Helmholtz equation ( V2 + k2 ) y ( r ) = 0 ( 13.35 ) where ...
Página 185
... scattering problem is basically that of determining the differential scattering cross section o ( 0,9 ) , although one may also have use for the scattering amplitude f ( 0,9 ) . In the two following sections two different approaches to ...
... scattering problem is basically that of determining the differential scattering cross section o ( 0,9 ) , although one may also have use for the scattering amplitude f ( 0,9 ) . In the two following sections two different approaches to ...
Página 192
... scattering of electromagnetic radiation one is often led to consider scattering from a regular array of scattering centers , e.g. , the diffraction grating . While , as previously stated , vector waves will not be Fa Pi Figure 13.1 ...
... scattering of electromagnetic radiation one is often led to consider scattering from a regular array of scattering centers , e.g. , the diffraction grating . While , as previously stated , vector waves will not be Fa Pi Figure 13.1 ...
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