Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 32
Página 75
... clearly seen by examination of ( 6.5 ) ] , there exist matrices S and A ( A is diagonal with real elements ) such that M SAS + , SS + 1. The periodicity of the structure , which is respon- sible for the simple form of M , will be ...
... clearly seen by examination of ( 6.5 ) ] , there exist matrices S and A ( A is diagonal with real elements ) such that M SAS + , SS + 1. The periodicity of the structure , which is respon- sible for the simple form of M , will be ...
Página 213
... Clearly 2 surprisingly small . 15.3 A Lower Bound1 As demonstrated in the preceding section , the Rayleigh variational principle yields an upper limit to the lowest eigenvalue of a Hermitian operator . This result , while clearly very ...
... Clearly 2 surprisingly small . 15.3 A Lower Bound1 As demonstrated in the preceding section , the Rayleigh variational principle yields an upper limit to the lowest eigenvalue of a Hermitian operator . This result , while clearly very ...
Página 245
... Clearly F1,2,3 .... , n Fi in = -- Στι j.i = 29,51 = j , i -Σα j , i - · Fis ίσ Thus F is proportional to ε : Fig ..... in | A | Ɛi¡ , ig , . . . , in or Σ Ajaigiz aininε1,2 .. 10 ( 1A.3 ) = , in Ɛ¡ ̧‚iş , . . . ‚ În | A | ( 1A.4 ) ...
... Clearly F1,2,3 .... , n Fi in = -- Στι j.i = 29,51 = j , i -Σα j , i - · Fis ίσ Thus F is proportional to ε : Fig ..... in | A | Ɛi¡ , ig , . . . , in or Σ Ajaigiz aininε1,2 .. 10 ( 1A.3 ) = , in Ɛ¡ ̧‚iş , . . . ‚ În | A | ( 1A.4 ) ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
Derechos de autor | |
Otras 29 secciones no mostradas
Otras ediciones - Ver todas
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