Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 143
... constant to be determined . The solution N , ( kr ) of the Bessel equation , which is irregular at the origin of coordinates ( r = 0 ) , is now admissible because the membrane does not include the origin . Further- more , both the ...
... constant to be determined . The solution N , ( kr ) of the Bessel equation , which is irregular at the origin of coordinates ( r = 0 ) , is now admissible because the membrane does not include the origin . Further- more , both the ...
Página 160
... constant on the parallel planes k⚫r = +1 constant and varies as eiks along the normal to the planes , where s is distance along the normal . 2 Note the parallelism with the derivation of Eq . ( 10.39a ) in the two - dimensional case ...
... constant on the parallel planes k⚫r = +1 constant and varies as eiks along the normal to the planes , where s is distance along the normal . 2 Note the parallelism with the derivation of Eq . ( 10.39a ) in the two - dimensional case ...
Página 288
... constant v . Furthermore , the integrand will be large when u is algebraically large . However u can never have an absolute maximum . Consider a point at which ди дх - ди ду - 0 Because f ( z ) is analytic we also have at this point and ...
... constant v . Furthermore , the integrand will be large when u is algebraically large . However u can never have an absolute maximum . Consider a point at which ди дх - ди ду - 0 Because f ( z ) is analytic we also have at this point and ...
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