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International Journal of Theoretical Physics

, Volume 50, Issue 7, pp 2201–2210 | Cite as

SU(1,1) Coherent States for Position-Dependent Mass Singular Oscillators

  • Sara Cruz y Cruz
  • Oscar Rosas-Ortiz
Article

Abstract

The Schrödinger equation for position-dependent mass singular oscillators is solved by means of the factorization method and point transformations. These systems share their spectrum with the conventional singular oscillator. Ladder operators are constructed to close the su(1,1) Lie algebra and the involved point transformations are shown to preserve the structure of the Barut-Girardello and Perelomov coherent states.

Keywords

Coherent states Position-dependent mass Singular oscillators 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Sección de Estudios de Posgrado e InvestigaciónUPIITA-IPNMexico DFMexico
  2. 2.Departamento de FísicaCinvestavMexico DFMexico

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