Some Mathematical Methods of Physics

applied approximation arbitrary base basis becomes Bessel boundary conditions called Chap chapter Clearly column complete consider constant continuous coordinates corresponding defined definition demonstrated denoted derived determinant diagonal difference discussed eigencolumns eigenfunctions eigenvalue eigenvectors elements equal equation evaluate example exists expansion expression finite follows formula Fourier function given Green's function Hence Hermitian independent infinite integral introduced inverse known limit linear operator Mathematical matrix method multiplication normal notation Note obtained operator orthonormality Physics problem procedure properties Quantum Mechanics relations representation represented result satisfies scattering seen solution solve spherical string Substitution Suppose theorem transform unique unit vanish variable vector vector space verified wave write written yields York zero