Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 97
... boundary conditions . 2 Note that the statement " is Hermitian " means either ( a ) L is a Hermitian matrix or ( b ) u d2 with the boundary conditions ( 8.4 ) is Hermitian . It is incorrect to omit the italic phrase . The boundary ...
... boundary conditions . 2 Note that the statement " is Hermitian " means either ( a ) L is a Hermitian matrix or ( b ) u d2 with the boundary conditions ( 8.4 ) is Hermitian . It is incorrect to omit the italic phrase . The boundary ...
Página 112
... boundary conditions on the functions f ( x , t ) in this domain are af дх дf = C1f ( 0 , t ) and = C2f ( L , t ) x = 0 дх x = L where C1 and C2 are constants . 4. The circular domain In this domain the boundary conditions are ƒ ( 0 , t ) ...
... boundary conditions on the functions f ( x , t ) in this domain are af дх дf = C1f ( 0 , t ) and = C2f ( L , t ) x = 0 дх x = L where C1 and C2 are constants . 4. The circular domain In this domain the boundary conditions are ƒ ( 0 , t ) ...
Página 144
... condition on ƒx , n ( r , 0 ) . ] λ is now determined from the boundary conditions = fx.a ( r , 0 ) Ja ( kr ) ( A cos 0 + B sin 0 ) = 0 fx , λ ( r , α ) = J2 ( kr ) ( A cos λa + B sin λa ) = = 0 ( 10.66 ) The first of these conditions ...
... condition on ƒx , n ( r , 0 ) . ] λ is now determined from the boundary conditions = fx.a ( r , 0 ) Ja ( kr ) ( A cos 0 + B sin 0 ) = 0 fx , λ ( r , α ) = J2 ( kr ) ( A cos λa + B sin λa ) = = 0 ( 10.66 ) The first of these conditions ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
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Términos y frases comunes
analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх