Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 16
Página 158
... Spherical Harmonics It has already been seen in Sec . 11.4 that the normalized spherical harmonics Y , ( 0,9 ) satisfy the relations L + Y , m mym +1 = Z L_Y2m = H1mym - 1 in which = G , m √ ( 1 − m ) ( 1 + m + 1 ) Hm = - ' ( l + m ) ...
... Spherical Harmonics It has already been seen in Sec . 11.4 that the normalized spherical harmonics Y , ( 0,9 ) satisfy the relations L + Y , m mym +1 = Z L_Y2m = H1mym - 1 in which = G , m √ ( 1 − m ) ( 1 + m + 1 ) Hm = - ' ( l + m ) ...
Página 164
... spherical harmonics Y , " ( 0,9 ) . 5. Verify that z , ( p ) = √π / 2p Z1 + 1⁄21⁄2 ( P ) . 6. Find the 10 lowest ... Spherical , Cylindrical , and Ellip- soidal Harmonics , " Ginn and Company , Boston , 1893 . MacRobert , T. M ...
... spherical harmonics Y , " ( 0,9 ) . 5. Verify that z , ( p ) = √π / 2p Z1 + 1⁄21⁄2 ( P ) . 6. Find the 10 lowest ... Spherical , Cylindrical , and Ellip- soidal Harmonics , " Ginn and Company , Boston , 1893 . MacRobert , T. M ...
Página 299
... spherical functions , 157 for spherical harmonics , 158-159 Residues , theorem of , 259-260 Ritz , W. , 215 Ritz method , 215-223 Rodrigues's formula , 154 Rojansky , V. , 66 Rotation of coordinates , 55 Saddle point , 288 Saddle ...
... spherical functions , 157 for spherical harmonics , 158-159 Residues , theorem of , 259-260 Ritz , W. , 215 Ritz method , 215-223 Rodrigues's formula , 154 Rojansky , V. , 66 Rotation of coordinates , 55 Saddle point , 288 Saddle ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 19 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
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