Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 5
... problems indicated by ( 1.7 ) and ( 1.8 ) , the forces F , F1 , and F2 are independent of time , a simpler problem than that of solving the equa- tions of motion suggests itself : What solutions exist in which the depend- ent variables ...
... problems indicated by ( 1.7 ) and ( 1.8 ) , the forces F , F1 , and F2 are independent of time , a simpler problem than that of solving the equa- tions of motion suggests itself : What solutions exist in which the depend- ent variables ...
Página 87
... Problem - > It has been shown that the problem described by Eqs . ( 7.7 ) , ( 7.8 ) , and ( 7.9 ) can be considered as the limit , as Ax → 0 , of the problem described by Eqs . ( 7.4 ) , ( 7.5 ) , and ( 7.6 ) . The method which has ...
... Problem - > It has been shown that the problem described by Eqs . ( 7.7 ) , ( 7.8 ) , and ( 7.9 ) can be considered as the limit , as Ax → 0 , of the problem described by Eqs . ( 7.4 ) , ( 7.5 ) , and ( 7.6 ) . The method which has ...
Página 202
... problems in which the eigenvalues have a discrete spec- trum . The more difficult problem of determining the perturbation of the eigenvector f will be treated only briefly . 14.2 Formulation of the Problem Suppose that an eigenvalue 2 ...
... problems in which the eigenvalues have a discrete spec- trum . The more difficult problem of determining the perturbation of the eigenvector f will be treated only briefly . 14.2 Formulation of the Problem Suppose that an eigenvalue 2 ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх