Some Mathematical Methods of Physics

applied approaches approximate arbitrary basis becomes Bessel boundary conditions called chap chapter Clearly coefficients column complete consider constant continuous contour coordinates corresponding defined definition demonstrated denoted derived determinant diagonal difference differential equation discussed eigencolumns eigenfunctions eigenvalue element equal equation evaluate example exists expansion expression finite follows Fourier function given Green's function Hence independent indicated infinite integral introduce inverse known limit linear matrix method multiplication normalized notation Note obtained operator orthonormality path Physics plane positive problem procedure reduces relations replaced representation represented result satisfy scattering solution solve space string substitution Suppose theorem transformation unique vanish variable vector verified wave write written yields York zero