Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 64
... matrix . Any matrix H which satisfies the condition H H + is called a Hermitian matrix . Clearly , Hermitian matrices are normal matrices . Furthermore , any real symmetric matrix is a normal matrix , since such a matrix can be ...
... matrix . Any matrix H which satisfies the condition H H + is called a Hermitian matrix . Clearly , Hermitian matrices are normal matrices . Furthermore , any real symmetric matrix is a normal matrix , since such a matrix can be ...
Página 97
... matrix L. Thus , in Chap . 6 it was found more convenient to define L by the relation g ( i ) = μ 82ƒ ( i ) = μ [ ƒ ... Hermitian " means either ( a ) L is a Hermitian matrix or ( b ) u d2 with the boundary conditions ( 8.4 ) is ...
... matrix L. Thus , in Chap . 6 it was found more convenient to define L by the relation g ( i ) = μ 82ƒ ( i ) = μ [ ƒ ... Hermitian " means either ( a ) L is a Hermitian matrix or ( b ) u d2 with the boundary conditions ( 8.4 ) is ...
Página 297
... Hermitian adjoint of matrix , 56 , 80 , 103-104 Hermitian matrix , 64 Hermitian operator , 70 eigenvalues of , 71 , 104 eigenvectors for , 105 theorems on , 70-72 Hilbert , D. , 175 , 210 , 224 Hildebrand , F. B. , 232 Hobson , E. W. ...
... Hermitian adjoint of matrix , 56 , 80 , 103-104 Hermitian matrix , 64 Hermitian operator , 70 eigenvalues of , 71 , 104 eigenvectors for , 105 theorems on , 70-72 Hilbert , D. , 175 , 210 , 224 Hildebrand , F. B. , 232 Hobson , E. W. ...
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