Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 38
... formula from complex variable theory.1 f ( A ) = 1 f ( Z ) dz 2πi Jc Z A ( 3.1 ) This formula may be applied to matrices2 as well as to numbers , provided the contour C encloses all eigenvalues of A and no singularities of f ( Z ) . A ...
... formula from complex variable theory.1 f ( A ) = 1 f ( Z ) dz 2πi Jc Z A ( 3.1 ) This formula may be applied to matrices2 as well as to numbers , provided the contour C encloses all eigenvalues of A and no singularities of f ( Z ) . A ...
Página 257
... Formula From the corollary to the Cauchy integral theorem there may be derived a relation known as the Cauchy integral formula . Let f ( z ) be analytic within a closed contour C and continuous on the REMARKS ON THEORY OF FUNCTIONS OF ...
... Formula From the corollary to the Cauchy integral theorem there may be derived a relation known as the Cauchy integral formula . Let f ( z ) be analytic within a closed contour C and continuous on the REMARKS ON THEORY OF FUNCTIONS OF ...
Página 297
... formula , Laplace , 44 Iteration procedures , 225-232 Jaeger , J. C. , 49 , 127 Jahnke , E. , 142 , 145 , 294 Jeffreys , B. S. , 20 , 256 Jeffreys , H. , 20 , 256 Kármán , T. von , 20 , 232 Kernel of operator , 98 Ket , 67 Kohn , W ...
... formula , Laplace , 44 Iteration procedures , 225-232 Jaeger , J. C. , 49 , 127 Jahnke , E. , 142 , 145 , 294 Jeffreys , B. S. , 20 , 256 Jeffreys , H. , 20 , 256 Kármán , T. von , 20 , 232 Kernel of operator , 98 Ket , 67 Kohn , W ...
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