Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 53
... basis . For convenience , this basis will be called the “ u , basis " rather than by the more cumbersome expression , “ the basis in which the u , are the base vectors . " -- A length may be defined for the vector x . This length should ...
... basis . For convenience , this basis will be called the “ u , basis " rather than by the more cumbersome expression , “ the basis in which the u , are the base vectors . " -- A length may be defined for the vector x . This length should ...
Página 60
... basis it is represented by sLs + , where s is the matrix which effects the transformation from the v , basis to the u , basis . Similarly , if + = L ; , u , * , then 1.j L = k , m = Σ ▽ 2 ( SL * s * ) xmv * ( 4.27 ) k.m The general ...
... basis it is represented by sLs + , where s is the matrix which effects the transformation from the v , basis to the u , basis . Similarly , if + = L ; , u , * , then 1.j L = k , m = Σ ▽ 2 ( SL * s * ) xmv * ( 4.27 ) k.m The general ...
Página 68
... Basis ( 5.5 ) Multiplication of ( 5.1 ) from the right by the base ket j > gives \ j > = | i > < ilj > This is the Dirac notation for the change of basis v1 = { u1lis ( 5.6 ) ( 4.10 ) in the old notation . Hence the bracket < ilj > is ...
... Basis ( 5.5 ) Multiplication of ( 5.1 ) from the right by the base ket j > gives \ j > = | i > < ilj > This is the Dirac notation for the change of basis v1 = { u1lis ( 5.6 ) ( 4.10 ) in the old notation . Hence the bracket < ilj > is ...
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