Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 37
Página 143
... constant to be determined . The solution N „ ( kr ) of the Bessel equation , which is irregular at the origin of coordinates ( r = 0 ) , is now admissible because the membrane does not include the origin . Further- more , both the ...
... constant to be determined . The solution N „ ( kr ) of the Bessel equation , which is irregular at the origin of coordinates ( r = 0 ) , is now admissible because the membrane does not include the origin . Further- more , both the ...
Página 160
... constant on the parallel planes k⚫r = ( 11.84 ) constant and varies as eiks along the normal to the planes , where s is distance along the normal . 2 Note the parallelism with the derivation of Eq . ( 10.39a ) in the two - dimensional ...
... constant on the parallel planes k⚫r = ( 11.84 ) constant and varies as eiks along the normal to the planes , where s is distance along the normal . 2 Note the parallelism with the derivation of Eq . ( 10.39a ) in the two - dimensional ...
Página 183
... constant . To evaluate this constant value of A , one may use either the asymptotic forms of J , and H , " or the series representations near the origin . In either case , one finds that A -Ti / 2 . Hence = πί 8n ( r , r ' ) = — TM a J ...
... constant . To evaluate this constant value of A , one may use either the asymptotic forms of J , and H , " or the series representations near the origin . In either case , one finds that A -Ti / 2 . Hence = πί 8n ( r , r ' ) = — TM a J ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
Derechos de autor | |
Otras 29 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
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