An asymmetric "implicit" potential on the real line

Brian Wesley Williams, G. Lévai

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

An exactly solvable, two-parameter implicit quantum mechanical potential is derived and characterized. With a change of variable, this potential is shown to belong to the Natanzon class, and for at least one value of the potential parameters, an explicit, rather than implicit, potential results.

Original languageEnglish
Pages (from-to)1901-1909
Number of pages9
JournalModern Physics Letters A
Volume18
Issue number27
DOIs
Publication statusPublished - Sep 7 2003

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Real Line
Change of Variables
Two Parameters
Class

Keywords

  • Implicit quantum potential
  • Jacobi polynomials
  • Natanzon potential class

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Nuclear and High Energy Physics

Cite this

An asymmetric "implicit" potential on the real line. / Williams, Brian Wesley; Lévai, G.

In: Modern Physics Letters A, Vol. 18, No. 27, 07.09.2003, p. 1901-1909.

Research output: Contribution to journalArticle

Williams, Brian Wesley ; Lévai, G. / An asymmetric "implicit" potential on the real line. In: Modern Physics Letters A. 2003 ; Vol. 18, No. 27. pp. 1901-1909.
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