Distributed basis functions


Karabulut H.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, vol.37, no.15, pp.3103-3126, 2004 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 15
  • Publication Date: 2004
  • Doi Number: 10.1088/0953-4075/37/15/008
  • Journal Name: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.3103-3126

Abstract

A formalism to evaluate the performance of a given distributed basis (a basis formed by shifting a localized function) to span a given function is introduced. Various examples of distributed bases are given and their properties are discussed. The formalism is extended to the case of more than one basis function per site and examples are given. A new distributed basis called a distributed harmonic oscillator functions basis is introduced and its advantages compared to the distributed Gaussian basis are discussed.