Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 124
... direction of in- creasing x and the other in the direction of decreasing x , the speed being c in each case . A process similar to the above may be applied to ( 9.43 ) . Thus , for all x , x ' , 2 름 을 sin ηπχ ηπχ ' 1 Ln = 1 L - x ...
... direction of in- creasing x and the other in the direction of decreasing x , the speed being c in each case . A process similar to the above may be applied to ( 9.43 ) . Thus , for all x , x ' , 2 름 을 sin ηπχ ηπχ ' 1 Ln = 1 L - x ...
Página 195
... direction Mb Le will pass through some of the scatterers . The re- maining scatterers will be on lines parallel to this direction . But by ( 13.78 ) ( n 。— n ) · ( Mb — Lc ) = 0 - ( 13.79 ) Therefore , non is perpendicular to the line ...
... direction Mb Le will pass through some of the scatterers . The re- maining scatterers will be on lines parallel to this direction . But by ( 13.78 ) ( n 。— n ) · ( Mb — Lc ) = 0 - ( 13.79 ) Therefore , non is perpendicular to the line ...
Página 263
... direction and minus if in the clockwise direction . As an example , let us evaluate +00 eixt I1 - 2 dx + a2 ( 2A.4 ) We note that the integrand has poles at z = + ia . If t > 0 the contour is completed in a counterclockwise direction ...
... direction and minus if in the clockwise direction . As an example , let us evaluate +00 eixt I1 - 2 dx + a2 ( 2A.4 ) We note that the integrand has poles at z = + ia . If t > 0 the contour is completed in a counterclockwise direction ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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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