Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 7
... properties independent of time . " The limitations implied by these words are readily interpreted with the aid of Eqs . ( 1.16 ) . Linear implies that each term in ( 1.16 ) contains at most one dependent variable x , and that variable ...
... properties independent of time . " The limitations implied by these words are readily interpreted with the aid of Eqs . ( 1.16 ) . Linear implies that each term in ( 1.16 ) contains at most one dependent variable x , and that variable ...
Página 14
... properties of determinants which will be needed in Sec . 1.8 are summarized in Sec . 1.7 . 1.7 Some Properties of Determinants The determinant of a square matrix m is a number indicated as m , read " determinant of m . " This ...
... properties of determinants which will be needed in Sec . 1.8 are summarized in Sec . 1.7 . 1.7 Some Properties of Determinants The determinant of a square matrix m is a number indicated as m , read " determinant of m . " This ...
Página 245
... properties which are direct conse- quences of the definition : I. The value of a determinant is not changed if corresponding rows and columns are interchanged ; | D | = | D | , where DT is the matrix formed from D by interchanging ...
... properties which are direct conse- quences of the definition : I. The value of a determinant is not changed if corresponding rows and columns are interchanged ; | D | = | D | , where DT is the matrix formed from D by interchanging ...
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