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

被引：3

作者：

Moussa, M. Hadj ^{[1
,2
]}

Merad, M. ^{[2
]}

Merad, A. ^{[3
]}

机构：

[1] Univ Saad Dahlab Blida, Fac Sci, Dept Phys, Blida, Algeria

[2] Univ Oum El Bouaghi, Fac Sci Exactes, Dept Sci Matiere, Oum El Bouaghi 04000, Algeria

[3] Univ Batna 1, Fac Sci Matiere, Dept Phys, PRIMALAB, Batna 05000, Algeria

来源：

FEW-BODY SYSTEMS | 2019年 / 60卷 / 03期

关键词：

GENERALIZED UNCERTAINTY PRINCIPLE; SPECIAL RELATIVITY; LENGTH; FIELD;

D O I：

10.1007/s00601-019-1522-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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

页数：10

共 50 条

[1] Bosonic Oscillator on the de Sitter and the Anti-de Sitter Spaces
M. Hadj Moussa
M. Merad
A. Merad
[J]. Few-Body Systems, 2019, 60
[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

← 1 2 3 4 5 →