The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line

Taseli H., Alici H.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.41, no.4, pp.407-416, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1007/s10910-006-9083-z
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.407-416
  • Keywords: Schrodinger operator, quantum mechanical oscillators, singular Sturm-Liouville problems on the real line, spectral and pseudospectral methods, Laguerre polynomials, Laguerre collocation points, HERMITE-WEBER BASIS, SCHRODINGER-EQUATION
  • Middle East Technical University Affiliated: Yes

Abstract

Hermite-Weber functions provide a natural expansion basis for the numerical treatment of the Schrodinger equation on the whole real line. For the reflection symmetric Hamiltonians, however, it is shown here that the transformation of the problem over the half line and use of a Laguerre basis is computationally much more efficient in a pseudospectral scheme.