Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 119
... Laplacian d2 / dx2 in the finite domain 0 ≤ x ≤ L for such functions f ( x ) that 2 f ( x , t ) 2018018 x = 0 = α f ( 0,1 ) 2 2 f ( x , t ) 1 x = L = Bf ( L , t ) ( 9.28 ) where ... Laplacian a2 THE LAPLACIAN ( V2 ) IN ONE DIMENSION 119.
... Laplacian d2 / dx2 in the finite domain 0 ≤ x ≤ L for such functions f ( x ) that 2 f ( x , t ) 2018018 x = 0 = α f ( 0,1 ) 2 2 f ( x , t ) 1 x = L = Bf ( L , t ) ( 9.28 ) where ... Laplacian a2 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 147
... Laplacian operator is given by V2 = 22 22 22 + + მ x2 дуг Əz2 ( 11.2 ) and y = y ( x , y , z , t ) . If one transforms to spherical coordinates r , 0,0 defined by the relations x = r sin cos y = r sin 0 sin z = r cos 0 the Laplacian ...
... Laplacian operator is given by V2 = 22 22 22 + + მ x2 дуг Əz2 ( 11.2 ) and y = y ( x , y , z , t ) . If one transforms to spherical coordinates r , 0,0 defined by the relations x = r sin cos y = r sin 0 sin z = r cos 0 the Laplacian ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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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