Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 22
... given by ( 2.5 ) is independent of a . In one sense , given ( 2.6 ) , there remains no more to be done the prob- lem is solved . On the other hand , both for ease of calculation and for ease of understanding , a more satisfactory ...
... given by ( 2.5 ) is independent of a . In one sense , given ( 2.6 ) , there remains no more to be done the prob- lem is solved . On the other hand , both for ease of calculation and for ease of understanding , a more satisfactory ...
Página 65
... Given two Hermitian operators L and M , such that L M = ML , show that if M is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that ei * is unitary . = 6. If L , L , L , are as given in ...
... Given two Hermitian operators L and M , such that L M = ML , show that if M is not degenerate , L and M may be simultaneously diagonalized . 5. If is any Hermitian operator show that ei * is unitary . = 6. If L , L , L , are as given in ...
Página 101
... given by = fi = ΣtioFo ( 8.17 ) In a similar manner , one might consider a transformation of a function f into a function F as given by a matrix S : or F ( y ) = √s ( y , x ) f ( x ) dx F = Sf The inverse transformation is given by a ...
... given by = fi = ΣtioFo ( 8.17 ) In a similar manner , one might consider a transformation of a function f into a function F as given by a matrix S : or F ( y ) = √s ( y , x ) f ( x ) dx F = Sf The inverse transformation is given by a ...
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