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 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
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