Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 12
Página 213
... lowest eigenvalue of the operator H. In a like manner , it may be demonstrated that & is not greater than the highest eigenvalue of H. As an example , consider the approximate evaluation of the lowest eigenvalue ( ^ 1 = " 2 ) of the ...
... lowest eigenvalue of the operator H. In a like manner , it may be demonstrated that & is not greater than the highest eigenvalue of H. As an example , consider the approximate evaluation of the lowest eigenvalue ( ^ 1 = " 2 ) of the ...
Página 227
... eigenvalue and its eigen- column are determined , whereas in many problems it is the lowest eigen- value and its eigencolumn which are of interest ; the method cannot be applied to continuous systems involving differential operators ...
... eigenvalue and its eigen- column are determined , whereas in many problems it is the lowest eigen- value and its eigencolumn which are of interest ; the method cannot be applied to continuous systems involving differential operators ...
Página 228
... lowest eigenvalue of £ . Unfortunately , the labor of inverting in the case of discrete systems is usually so great that the method is inferior to the former approach . In the case of continuous systems involving differential operators ...
... lowest eigenvalue of £ . Unfortunately , the labor of inverting in the case of discrete systems is usually so great that the method is inferior to the former approach . In the case of continuous systems involving differential operators ...
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