Calculation of Matrix Elements for One-Dimensional Quantum-Mechanical Problems
A S Dickinson, Phillip R. Certain · The Journal of Chemical Physics · 1968
A simple method proposed by Harris et al. using the techniques of transformation theory for the generation of the matrix elements of one-dimensional potential functions in a discrete, orthonormal basis is shown to be equivalent to Gaussian quadratures when the basis is constructed of orthogonal polynomials. The basis exp(inθ) on (− π, π) is also discussed.