Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 5
... direction is carried out below . The problems discussed above may be divided into three categories : the time - dependent homogeneous prob- lems of ( 1.1 ) to ( 1.6 ) , the time - dependent inhomogeneous problems of ( 1.7 ) and ( 1.8 ) ...
... direction is carried out below . The problems discussed above may be divided into three categories : the time - dependent homogeneous prob- lems of ( 1.1 ) to ( 1.6 ) , the time - dependent inhomogeneous problems of ( 1.7 ) and ( 1.8 ) ...
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 ηπχ ηπχ ' Σ sin sin L = 1 L L 1 ...
... 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 ηπχ ηπχ ' Σ sin sin L = 1 L L 1 ...
Página 263
... direction and minus if in the clockwise direction . As an example , let us evaluate 41 = f +00 -∞ eizt dx x2 + a2 ( 2A.4 ) We note that the integrand has poles at z = ia . Ift > 0 the contour is completed in a counterclockwise direction ...
... direction and minus if in the clockwise direction . As an example , let us evaluate 41 = f +00 -∞ eizt dx x2 + a2 ( 2A.4 ) We note that the integrand has poles at z = ia . Ift > 0 the contour is completed in a counterclockwise direction ...
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