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 85
... discussed in Sec . 6.2 . For the purpose of making the transition from such a line to a line in which the resistances and capacitances are not lumped but rather are distributed uniformly along the length of the line , the following ...
... discussed in Sec . 6.2 . For the purpose of making the transition from such a line to a line in which the resistances and capacitances are not lumped but rather are distributed uniformly along the length of the line , the following ...
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
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх