International Journal of Theoretical Physics

, Volume 47, Issue 4, pp 891–897

Mapping of Shape Invariant Potentials by the Point Canonical Transformation


DOI: 10.1007/s10773-007-9515-y

Cite this article as:
Setare, M.R. & Karimi, E. Int J Theor Phys (2008) 47: 891. doi:10.1007/s10773-007-9515-y


In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential. Then we show that the Pöschl-Teller potential type I belongs to the same subclass of shape invariant potentials as Hulthén potential. Also we show that the shape-invariant algebra for Coulomb, Kratzer, and Morse potentials is SU(1,1), while the shape-invariant algebra for Pöschl-Teller type I and Hulthén is SU(2).


Point canonical transformation Supersymmetric quantum mechanics Shape-invariant 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of SciencePayame Noor UniversityBijarIran
  2. 2.Dipartimento di Scienze FisicheUniversità di Napoli “Federico II”NapoliItaly

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