Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 136
... Bessel equation satisfied by the cylindrical functions of integral order n . As noted previously , the Bessel ... function of any order n may be obtained from the cylindrical function of order zero by repeated use of the appropriate ...
... Bessel equation satisfied by the cylindrical functions of integral order n . As noted previously , the Bessel ... function of any order n may be obtained from the cylindrical function of order zero by repeated use of the appropriate ...
Página 142
... Bessel functions must satisfy the boundary condition J ( kp ) = 0. This condition determines the eigenvalues as follows : The Bessel function J ( ) is zero only for certain values of λ , say 1 , 2 , .... From the properties of Bessel ...
... Bessel functions must satisfy the boundary condition J ( kp ) = 0. This condition determines the eigenvalues as follows : The Bessel function J ( ) is zero only for certain values of λ , say 1 , 2 , .... From the properties of Bessel ...
Página 296
... functions , 134 , 280-294 integral representation of , 280-286 recurrence formulas for , 135-136 theorems on , 134-140 ( See also Bessel functions ) Debye , P. , 291 , 292 Degenerate matrix , 26 Delta , Kronecker , 12 Delta function ...
... functions , 134 , 280-294 integral representation of , 280-286 recurrence formulas for , 135-136 theorems on , 134-140 ( See also Bessel functions ) Debye , P. , 291 , 292 Degenerate matrix , 26 Delta , Kronecker , 12 Delta function ...
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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Términos y frases comunes
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