Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 13
... differences all arise from the definition of the product of two matrices . The first difference to be considered is the noncommutativity of matrix multiplication . That is , there are matrices p and m such that mp #pm In fact , an ...
... differences all arise from the definition of the product of two matrices . The first difference to be considered is the noncommutativity of matrix multiplication . That is , there are matrices p and m such that mp #pm In fact , an ...
Página 80
... difference operator d2 with boundary conditions ( 6.9 ) and ( 6.10 ) has been intro- duced . Such a procedure , of writing a difference equation y1 = Dx , and boundary conditions to eliminate auxiliary variables x 。, x_1 , . . . , etc ...
... difference operator d2 with boundary conditions ( 6.9 ) and ( 6.10 ) has been intro- duced . Such a procedure , of writing a difference equation y1 = Dx , and boundary conditions to eliminate auxiliary variables x 。, x_1 , . . . , etc ...
Página 296
... Difference equation , 75 from variational principle , 239-241 Difference operator , 79-80 adjoint of , 80 Differential operator , 108-109 Differential scattering cross section , 184 Diffraction , order of , 196 Dirac , P. A. M. , 67 ...
... Difference equation , 75 from variational principle , 239-241 Difference operator , 79-80 adjoint of , 80 Differential operator , 108-109 Differential scattering cross section , 184 Diffraction , order of , 196 Dirac , P. A. M. , 67 ...
Contenido
34 | 12 |
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 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