Mapping of Shape Invariant Potentials by the Point Canonical Transformation

Mapping of Shape Invariant Potentials by the Point Canonical Transformation

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...

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Veröffentlicht in:International journal of theoretical physics 2008-04, Vol.47 (4), p.891-897
Hauptverfasser: Setare, Mohammad R., Karimi, Ebrahim
Format: Artikel
Sprache:eng
Schlagworte:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Zusammenfassung: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).
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-007-9515-y