Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 203
... eigenvalue equation Lf = λf 。( 14.3 ) and its associated boundary conditions , and there also exists a nontrivial ... Eigenvalues Consider , instead of Eq . ( PERTURBATION OF EIGENVALUES 203.
... eigenvalue equation Lf = λf 。( 14.3 ) and its associated boundary conditions , and there also exists a nontrivial ... Eigenvalues Consider , instead of Eq . ( PERTURBATION OF EIGENVALUES 203.
Página 227
... eigenvalue of L and its eigencolumn have indeed been found . The iteration method of Cayley - Sylvester as described ... eigenvalue and its eigen- column are determined , whereas in many problems it is the lowest eigen- value and its ...
... eigenvalue of L and its eigencolumn have indeed been found . The iteration method of Cayley - Sylvester as described ... eigenvalue and its eigen- column are determined , whereas in many problems it is the lowest eigen- value and its ...
Página 228
... eigenvalue of L and its eigencolumn . If the matrix operator L has an inverse the eigenvalue problem ( 16.1 ) may be replaced by the problem L ̄1y = λ ̄1y -1 ( 16.8 ) Clearly , the largest eigenvalue of L - 1 to which the iteration ...
... eigenvalue of L and its eigencolumn . If the matrix operator L has an inverse the eigenvalue problem ( 16.1 ) may be replaced by the problem L ̄1y = λ ̄1y -1 ( 16.8 ) Clearly , the largest eigenvalue of L - 1 to which the iteration ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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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