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 ) μ 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 ) μ 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 af = C1f ( 0,1 ) and = C2f ( L , t ) дх x = L x = 0 where C1 and C2 are constants . 4. The circular domain In this domain the boundary conditions are f ( 0 , t ) ...
... boundary conditions on the functions f ( x , t ) in this domain are af дх af = C1f ( 0,1 ) and = C2f ( L , t ) дх x = L x = 0 where C1 and C2 are constants . 4. The circular domain In this domain the boundary conditions are f ( 0 , t ) ...
Página 144
... condition on fn ( r , 0 ) . ] is now determined from the boundary conditions fx.λ ( r , 0 ) = Ja ( kr ) ( A cos 0 + B sin 0 ) = 0 fx.λ ( r , x ) = Ja ( kr ) ( A cos ia + B sin λa ) = 0 The first of these conditions implies that cos tion ...
... condition on fn ( r , 0 ) . ] is now determined from the boundary conditions fx.λ ( r , 0 ) = Ja ( kr ) ( A cos 0 + B sin 0 ) = 0 fx.λ ( r , x ) = Ja ( kr ) ( A cos ia + B sin λa ) = 0 The first of these conditions implies that cos tion ...
Contenido
34 | 12 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх