Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 5
... discussed in Sec . 1.1 , it is desirable to introduce a uniform notation . A first step in this direction is carried out below . The problems discussed above may be divided into three categories : the time - dependent homogeneous prob ...
... discussed in Sec . 1.1 , it is desirable to introduce a uniform notation . A first step in this direction is carried out below . The problems discussed above may be divided into three categories : the time - dependent homogeneous prob ...
Página 225
... discussed below . 16.2 Eigenvalue Problems One of the first successful iteration methods , that due to Cayley- Sylvester , may be used in the case of discrete systems to determine the largest ( in magnitude ) eigenvalue and the ...
... discussed below . 16.2 Eigenvalue Problems One of the first successful iteration methods , that due to Cayley- Sylvester , may be used in the case of discrete systems to determine the largest ( in magnitude ) eigenvalue and the ...
Página 233
... discussed in Chaps . 14 to 16. In this chapter we shall show how some problems may be transformed into eigenvalue problems and , therefore , solved by the previously discussed methods . 17.2 The Method Suppose that one wishes to ...
... discussed in Chaps . 14 to 16. In this chapter we shall show how some problems may be transformed into eigenvalue problems and , therefore , solved by the previously discussed methods . 17.2 The Method Suppose that one wishes to ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
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Términos y frases comunes
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