Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 3
Página 287
... saddle - point method due to Debye : Consider the integral B 161 ) = √ ® X ( z ) etf ( ) dz ( 2C.28 ) in which t is large , real , and positive , f ( z ) is analytic , and the path of integration is an arc or closed curve in the z ...
... saddle - point method due to Debye : Consider the integral B 161 ) = √ ® X ( z ) etf ( ) dz ( 2C.28 ) in which t is large , real , and positive , f ( z ) is analytic , and the path of integration is an arc or closed curve in the z ...
Página 290
... saddle - point method to ( 2C.18 ) . Note that this result may have been obtained directly from ( 2C.23 ) and ( 2C.34 ) . Furthermore , substitution of ( 2C.34 ) and ( 2C.35 ) into ( 2C.19 ) and ( 2C.20 ) yields and 2 Jv ( p ) ~ cos ( p ...
... saddle - point method to ( 2C.18 ) . Note that this result may have been obtained directly from ( 2C.23 ) and ( 2C.34 ) . Furthermore , substitution of ( 2C.34 ) and ( 2C.35 ) into ( 2C.19 ) and ( 2C.20 ) yields and 2 Jv ( p ) ~ cos ( p ...
Página 291
... saddle point F ' ( 8 ) = O is then given by cos a cos ẞ0 . It lies at = F " ( B ) = Fip sin a = Po Fa , for H ) and H ( 2 ) , respectively . From ( 2C.43 ) we obtain so that F ( B ) = Fip ( a cos a = Fip ( a cosa - sin a ) Fip sin a ( ẞ ...
... saddle point F ' ( 8 ) = O is then given by cos a cos ẞ0 . It lies at = F " ( B ) = Fip sin a = Po Fa , for H ) and H ( 2 ) , respectively . From ( 2C.43 ) we obtain so that F ( B ) = Fip ( a cos a = Fip ( a cosa - sin a ) Fip sin a ( ẞ ...
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