Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 41
Página 119
... Laplacian d2 / əx2 in the finite domain 0 ≤ x ≤ L for such functions f ( x ) that a f ( x , t ) = = α f ( 0 , t ) дх x = 0 a f ( x , t ) = = ẞf ( L , t ) ax ( 9.28 ) where a and ... Laplacian a2x2 THE LAPLACIAN ( V2 ) IN ONE DIMENSION 119.
... Laplacian d2 / əx2 in the finite domain 0 ≤ x ≤ L for such functions f ( x ) that a f ( x , t ) = = α f ( 0 , t ) дх x = 0 a f ( x , t ) = = ẞf ( L , t ) ax ( 9.28 ) where a and ... Laplacian a2x2 THE LAPLACIAN ( V2 ) IN ONE DIMENSION 119.
Página 128
... Laplacian operator in one dimension , V2 = d2 / dx2 , was considered in some detail . The purpose of the present chapter is to treat the Laplacian operator in two dimensions : in both cartesian and plane polar coordinates and in both ...
... Laplacian operator in one dimension , V2 = d2 / dx2 , was considered in some detail . The purpose of the present chapter is to treat the Laplacian operator in two dimensions : in both cartesian and plane polar coordinates and in both ...
Página 146
... Laplacian ( V2 ) in Spherical Coordinates " since three - dimensional cartesian coordinates will not be considered in any detail . The reason for this omission is obvious : Having studied the Laplacian in one- and two- dimensional ...
... Laplacian ( V2 ) in Spherical Coordinates " since three - dimensional cartesian coordinates will not be considered in any detail . The reason for this omission is obvious : Having studied the Laplacian in one- and two- dimensional ...
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