Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 64
Gerald Goertzel, Nunzio Tralli. 4.10 The Diagonalization of Normal Matrices - = If A + A = AA + , the matrix A is said to be a normal matrix . Any matrix H which satisfies the condition H H + is called a Hermitian matrix . Clearly , ...
Gerald Goertzel, Nunzio Tralli. 4.10 The Diagonalization of Normal Matrices - = If A + A = AA + , the matrix A is said to be a normal matrix . Any matrix H which satisfies the condition H H + is called a Hermitian matrix . Clearly , ...
Página 80
... matrix M. If M is Hermitian , unitary , or normal , the corresponding D ( with boundary conditions ) is also Hermitian , unitary , or normal . One prefers , however , to investigate D directly . Thus , suppose to M there corresponds D ...
... matrix M. If M is Hermitian , unitary , or normal , the corresponding D ( with boundary conditions ) is also Hermitian , unitary , or normal . One prefers , however , to investigate D directly . Thus , suppose to M there corresponds D ...
Página 299
... normal , 61 spectral representation of , 60 , 70 Order of diffraction , 196 Orthogonal matrix , 56 Orthogonality , of Bessel functions , 140 of eigenfunctions , 104-105 Orthonormality condition , 54 for spherical harmonics , 153 Parodi ...
... normal , 61 spectral representation of , 60 , 70 Order of diffraction , 196 Orthogonal matrix , 56 Orthogonality , of Bessel functions , 140 of eigenfunctions , 104-105 Orthonormality condition , 54 for spherical harmonics , 153 Parodi ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх