Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 25
... completing the proof of the theorem . The problem is that of finding the quantities a , such that u = = Σsiai This ... complete set of eigencolumns . This chapter shall consider only such matrices as do . In the light of ( 2.14 ) , the ...
... completing the proof of the theorem . The problem is that of finding the quantities a , such that u = = Σsiai This ... complete set of eigencolumns . This chapter shall consider only such matrices as do . In the light of ( 2.14 ) , the ...
Página 27
... complete set . It is clearly desirable to be able to tell when a matrix may be diagonalized . This question does not have a complete answer in terms of simple opera- tions . However , as will be seen in Sec . 4.9 , if where = AA + A + A ...
... complete set . It is clearly desirable to be able to tell when a matrix may be diagonalized . This question does not have a complete answer in terms of simple opera- tions . However , as will be seen in Sec . 4.9 , if where = AA + A + A ...
Página 136
... complete set of functions in the r , coordinate system . To do this , recall that the functions ei ( + , ) form a complete set in the x , y co- ordinate system and try to find a , such that + ∞ y = e1 ( wxx + wyv ) = Σ anfn , w ( 1,0 ) ...
... complete set of functions in the r , coordinate system . To do this , recall that the functions ei ( + , ) form a complete set in the x , y co- ordinate system and try to find a , such that + ∞ y = e1 ( wxx + wyv ) = Σ anfn , w ( 1,0 ) ...
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