Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 22
... Eigenvalues and Eigencolumns If there exist a number 2 and a column u such that Аи = λι ( 2.7 ) then i is said to be an eigenvalue of A , u is said to be an eigen column of A , and the eigencolumn u and the eigenvalue λ are said to ...
... Eigenvalues and Eigencolumns If there exist a number 2 and a column u such that Аи = λι ( 2.7 ) then i is said to be an eigenvalue of A , u is said to be an eigen column of A , and the eigencolumn u and the eigenvalue λ are said to ...
Página 225
... eigenvalue and the corresponding eigencolumn of a ( matrix ) operator L. It proceeds as follows : It is desired to solve the eigenvalue problem Ly = hy ( 16.1 ) for its largest ( in magnitude ) eigenvalue λ , and its corresponding eigen- ...
... eigenvalue and the corresponding eigencolumn of a ( matrix ) operator L. It proceeds as follows : It is desired to solve the eigenvalue problem Ly = hy ( 16.1 ) for its largest ( in magnitude ) eigenvalue λ , and its corresponding eigen- ...
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 ...
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