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 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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Términos y frases comunes
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