Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 184
... scattering of the incident wave by the scatterer there will be additional outgoing waves from the scatterer . In order to speak thusly of outgoing waves one must localize the scatterer . Only then will the phrase “ out- going waves ...
... scattering of the incident wave by the scatterer there will be additional outgoing waves from the scatterer . In order to speak thusly of outgoing waves one must localize the scatterer . Only then will the phrase “ out- going waves ...
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 , v ) . In the two following sections two different approaches ...
... 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 , v ) . In the two following sections two different approaches ...
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 Pj P 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 Pj P Figure 13.1 ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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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