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 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх