Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 53
Página 88
... evaluate any function f ( d2 ) of the difference operator d2 it is necessary to find the eigencolumns and eigenvalues of 82 ( with its accom- panying boundary conditions ) . In so doing , the boundary conditions are an implicit part of ...
... evaluate any function f ( d2 ) of the difference operator d2 it is necessary to find the eigencolumns and eigenvalues of 82 ( with its accom- panying boundary conditions ) . In so doing , the boundary conditions are an implicit part of ...
Página 172
... evaluating the integral ( 12.33 ) or by solving the differential equation ( 12.35 ) . We shall evaluate the integral ( 12.33 ) and leave the solution of Eq . ( 12.35 ) as an exercise for the reader . Since the integrand in ( 12.33 ) is ...
... evaluating the integral ( 12.33 ) or by solving the differential equation ( 12.35 ) . We shall evaluate the integral ( 12.33 ) and leave the solution of Eq . ( 12.35 ) as an exercise for the reader . Since the integrand in ( 12.33 ) is ...
Página 224
... Evaluate approximately the lowest eigenvalue of the vibrating- string problem d2y dx2 + λργ = 0 y ( 0 ) = y ( 1 ) = 0 ρ p = 1 for 0 < x < 1/2 p = 2 for 1/2 < x < 1 Use the Rayleigh variational principle and carry out the evaluation for ...
... Evaluate approximately the lowest eigenvalue of the vibrating- string problem d2y dx2 + λργ = 0 y ( 0 ) = y ( 1 ) = 0 ρ p = 1 for 0 < x < 1/2 p = 2 for 1/2 < x < 1 Use the Rayleigh variational principle and carry out the evaluation for ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 19 secciones no mostradas
Otras ediciones - Ver todas
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