Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Discrete Variable Representations for Singular Hamiltonians



B I. Schneider, N Nygaard


We discuss the application of the Discrete Variable Representation to Schr dinger problems which involve singular Hamiltonians. Unlike recent authors which invoke transformations to rid the eigenvalue equation of singularities at the cost of added complexity, we show that an approach based solely on an orthogonal polynomial basis is adequate, provided the Gauss-Lobatto quadrature rule is used. The accuracy of the method is demonstrated by applying it to some simple problems. We emphasize that the method is equally capable of describing bound states and continuum solutions.
Journal of Physics B-Atomic Molecular and Optical Physics


discrete variable representations, quadrature, Schrodinger equation, singular


Schneider, B. and Nygaard, N. (2008), Discrete Variable Representations for Singular Hamiltonians, Journal of Physics B-Atomic Molecular and Optical Physics (Accessed July 23, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created October 16, 2008