| Abstract |
An orthogonal function set called distributed Gaussian orthogonal polynomials is constructed from equally spaced Gaussians and the corresponding quadrature is studied. The infinite chain limit of both polynomials and the quadrature is studied and analytical expressions are found for polynomials, quadrature points, weights, and Lagrange functions. The connections to Wannier functions are explored, and a way of constructing Wannier functions from Gaussians is proposed. (C) 1997 American Institute of Physics. |