Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 158
... derived in Sec . 11.8 , where are also derived some useful expansion formulae . 11.7 Recurrence Relations for the Spherical Harmonics It has already been seen in Sec . 11.4 that the normalized spherical harmonics Y . " ( 0,9 ) satisfy ...
... derived in Sec . 11.8 , where are also derived some useful expansion formulae . 11.7 Recurrence Relations for the Spherical Harmonics It has already been seen in Sec . 11.4 that the normalized spherical harmonics Y . " ( 0,9 ) satisfy ...
Página 160
... derived . In order to do this it is convenient to first derive some useful expansion formulae . The expansion of a plane wave1 er , traveling in an arbitrary direction a , ß ( i.e. , k has components k2 = k sin a cos ẞ , k , = k sin a ...
... derived . In order to do this it is convenient to first derive some useful expansion formulae . The expansion of a plane wave1 er , traveling in an arbitrary direction a , ß ( i.e. , k has components k2 = k sin a cos ẞ , k , = k sin a ...
Página 245
... derived . Consider Fişiş . . . . . În - Σ ... R Aiminis , iz . . . . . in 1,2 , ... , În ai , n ... a12l ai , 2 Ai2n ( 1A.2 ) ail ain ainn [ 4 ] . Further aigla ai , it ainijo in ... ... aitit Aigio ... in Aigio Clearly F1,2,3 .... , n ...
... derived . Consider Fişiş . . . . . În - Σ ... R Aiminis , iz . . . . . in 1,2 , ... , În ai , n ... a12l ai , 2 Ai2n ( 1A.2 ) ail ain ainn [ 4 ] . Further aigla ai , it ainijo in ... ... aitit Aigio ... in Aigio Clearly F1,2,3 .... , 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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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