Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 25
... completing the proof of the theorem . The problem is that of finding the quantities a , such that u = This may be ... complete set of eigencolumns . This chapter shall consider only such matrices as do . In the light of ( 2.14 ) , the ...
... completing the proof of the theorem . The problem is that of finding the quantities a , such that u = This may be ... complete set of eigencolumns . This chapter shall consider only such matrices as do . In the light of ( 2.14 ) , the ...
Página 72
... complete set of commuting observables . The eigenkets of a complete set of commuting observables are uniquely determined , except for an arbitrary complex multiplicative scalar of unit magnitude . is It is often easier to diagonalize an ...
... complete set of commuting observables . The eigenkets of a complete set of commuting observables are uniquely determined , except for an arbitrary complex multiplicative scalar of unit magnitude . is It is often easier to diagonalize an ...
Página 296
... complete set of , 72 , 133 , 148 matrices , 30 operators , 133 Completeness , 24-27 , 61-63 Complex variables , functions of , 254-260 Condon , E. U. , 154 , 159 Convolution theorem , 47-48 Cooke , R. G. , 66 Coordinate system ( see ...
... complete set of , 72 , 133 , 148 matrices , 30 operators , 133 Completeness , 24-27 , 61-63 Complex variables , functions of , 254-260 Condon , E. U. , 154 , 159 Convolution theorem , 47-48 Cooke , R. G. , 66 Coordinate system ( see ...
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