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
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх