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Few-Body Systems

, 60:53 | Cite as

Bosonic Oscillator on the de Sitter and the Anti-de Sitter Spaces

  • M. Hadj Moussa
  • M. MeradEmail author
  • A. Merad
Article
  • 32 Downloads

Abstract

In this work, we present the exact solution of the bosonic oscillator subjected to the interaction of an uniform electric field on the de Sitter and anti de Sitter spaces. In both cases, we extract the energy spectrum and the associated wave functions. For de Sitter case, the wave functions are expressed according to the Jacobi polynomial and for anti de Sitter case, the wave functions are expressed according to Romanovski’s polynomial. Finally the limiting cases are studied.

Notes

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Département de Physique, Faculté des SciencesUniversité Saâd Dahlab de BlidaBlidaAlgeria
  2. 2.Département des Sciences de la matière, Faculté des Sciences ExactesUniversité de Oum El BouaghiOum El BouaghiAlgeria
  3. 3.PRIMALAB, Département de Physique, Faculté des Sciences de la matièreUniversité de Batna 1BatnaAlgeria

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