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

被引：0
|
作者：
M. Hadj Moussa
M. Merad
A. Merad
机构：
[1] Université Saâd Dahlab de Blida,Département de Physique, Faculté des Sciences
[2] Université de Oum El Bouaghi,Département des Sciences de la matière, Faculté des Sciences Exactes
[3] Université de Batna 1,PRIMALAB, Département de Physique, Faculté des Sciences de la matière
来源：
Few-Body Systems | 2019年 / 60卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
相关论文
共 50 条
  • [1] Bosonic Oscillator on the de Sitter and the Anti-de Sitter Spaces
    Moussa, M. Hadj
    Merad, M.
    Merad, A.
    [J]. FEW-BODY SYSTEMS, 2019, 60 (03)
  • [2] On the Structure of Asymptotically de Sitter and Anti-de Sitter Spaces
    Anderson, Michael T.
    [J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 8 (05) : 861 - 893
  • [3] Conformal triality of de sitter, Minkowski and anti-de Sitter spaces
    Zhou, Bin
    Guo, Han-Ying
    [J]. DIFFERENTIAL GEOMETRY AND PHYSICS, 2006, 10 : 503 - +
  • [4] Mass in anti-de Sitter spaces
    Liu, JT
    Sabra, WA
    [J]. PHYSICAL REVIEW D, 2005, 72 (06):
  • [5] CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
    V. V. Varlamov
    [J]. Advances in Applied Clifford Algebras, 2015, 25 : 487 - 516
  • [6] CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
    Varlamov, V. V.
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2015, 25 (02) : 487 - 516
  • [7] de Sitter/anti-de Sitter global monopoles
    Bertrand, B
    Brihaye, Y
    Hartmann, B
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (20) : 4495 - 4502
  • [8] Thermodynamics of bosonic systems in anti-de Sitter spacetime
    Elias, Walace S.
    Molina, C.
    Baldiotti, M. C.
    [J]. PHYSICAL REVIEW D, 2019, 99 (08)
  • [9] The de Sitter and anti-de Sitter sightseeing tour
    Moschella, U
    [J]. Einstein, 1905-2005: Poincare Seminar 2005, 2006, 47 : 120 - 133
  • [10] Maximal slices in anti-de Sitter spaces
    Li, Zhenyang
    Shi, Yuguang
    [J]. TOHOKU MATHEMATICAL JOURNAL, 2008, 60 (02) : 253 - 265
12345