Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 52
... orthonormality condition . The base vectors i , j , k are said to form an orthonormal set . Vector analysis may be extended to apply to complex vectors in an n - dimensional space , 1 where n is finite 52 SYSTEMS WITH A FINITE NUMBER OF ...
... orthonormality condition . The base vectors i , j , k are said to form an orthonormal set . Vector analysis may be extended to apply to complex vectors in an n - dimensional space , 1 where n is finite 52 SYSTEMS WITH A FINITE NUMBER OF ...
Página 54
... orthonormality condition . If u ; * = u1 , all i , the basis is said to be orthonormal and the relation ( 4.8 ) is then known as the orthonormality condition . The expression ( 4.8 ) then states that ( 1 ) the vectors u , are unitary ...
... orthonormality condition . If u ; * = u1 , all i , the basis is said to be orthonormal and the relation ( 4.8 ) is then known as the orthonormality condition . The expression ( 4.8 ) then states that ( 1 ) the vectors u , are unitary ...
Página 131
... conditions ( 10.10 ) are given by f ( x , y ) = < x , y \ n ̧n > = < n , n , x , y > where and 2 = sin VL.L k2 = L sin ... orthonormality condition d ( xx ' ) dy y ' ) = < x , y \ n ̧ , n , > < n „ n „ \ x'‚y ' > Ôn ̧n¡ dn ̧Ñ ‚ = < n ̧n ...
... conditions ( 10.10 ) are given by f ( x , y ) = < x , y \ n ̧n > = < n , n , x , y > where and 2 = sin VL.L k2 = L sin ... orthonormality condition d ( xx ' ) dy y ' ) = < x , y \ n ̧ , n , > < n „ n „ \ x'‚y ' > Ôn ̧n¡ dn ̧Ñ ‚ = < n ̧n ...
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