Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 80
Página 28
... equation is satisfied by n values of 2 , some of which may be multiple roots . To summarize , the eigenvalues of an n × n square matrix A are found as the roots of the characteristic equation of A as given in ( 2.24 ) . If the n roots ...
... equation is satisfied by n values of 2 , some of which may be multiple roots . To summarize , the eigenvalues of an n × n square matrix A are found as the roots of the characteristic equation of A as given in ( 2.24 ) . If the n roots ...
Página 208
Gerald Goertzel, Nunzio Tralli. In constructing the equation analogous to ( 14.4 ) , one must incorporate explicitly the arbitrariness of the choice for the fo ) . Therefore write , as the eigenvalue equation for the perturbation ...
Gerald Goertzel, Nunzio Tralli. In constructing the equation analogous to ( 14.4 ) , one must incorporate explicitly the arbitrariness of the choice for the fo ) . Therefore write , as the eigenvalue equation for the perturbation ...
Página 238
... equation are the approximate eigen- values λ , 9 , λ = 27 which correspond , respectively , to the exact values 2 and 4π2 . = For n = 4 , h = 1/4 , the determinantal equation 11 / 162-2 1 0 1 1 / 16-2 1 = = 0 0 1 162-21 has solutions 1 ...
... equation are the approximate eigen- values λ , 9 , λ = 27 which correspond , respectively , to the exact values 2 and 4π2 . = For n = 4 , h = 1/4 , the determinantal equation 11 / 162-2 1 0 1 1 / 16-2 1 = = 0 0 1 162-21 has solutions 1 ...
Contenido
34 | 12 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 31 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх