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

共 50 条

[41] Quantum effects from boundaries in de Sitter and anti-de Sitter spacetimes
Saharian, A. A.
[J]. 2ND INTERNATIONAL SYMPOSIUM ON THE MODERN PHYSICS OF COMPACT STARS AND RELATIVISTIC GRAVITY, 2014, 496
[42] Wave fluctuations near a de Sitter brane in an anti-de Sitter universe
Bachelot, Alain
[J]. COMPTES RENDUS MATHEMATIQUE, 2016, 354 (01) : 19 - 25
[43] Neutrino Oscillations in the de Sitter and the Anti-de Sitter Space-Time
Ren, Jun
Pan, Yuan-Yue
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2011, 50 (08) : 2614 - 2621
[44] De Sitter and Anti-de Sitter branes in self-tuning models
J. K. Ghosh
E. Kiritsis
F. Nitti
L. T. Witkowski
[J]. Journal of High Energy Physics, 2018
[45] Emergent de Sitter Cosmology from Decaying Anti-de Sitter Space
Banerjee, Souvik
Danielsson, Ulf
Dibitetto, Giuseppe
Giri, Suvendu
Schillo, Marjorie
[J]. PHYSICAL REVIEW LETTERS, 2018, 121 (26)
[46] New characterizations for hyperbolic cylinders in anti-de Sitter spaces
Chaves, R. M. B.
Sousa, L. A. M., Jr.
Valerio, B. C.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 166 - 176
[47] Families of Equivariant Differential Operators and Anti-de Sitter Spaces
Backlund, Pierre
[J]. JOURNAL OF LIE THEORY, 2009, 19 (01) : 149 - 183
[48] De Sitter and Anti-de Sitter branes in self-tuning models
Ghosh, J. K.
Kiritsis, E.
Nitti, F.
Witkowski, L. T.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (11):
[49] SUPERSYMMETRY IN ANTI-DE SITTER SPACE
BELLUCCI, S
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1992, 40 (04): : 393 - 443
[50] On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
Lucas C. Ambrozio
[J]. Communications in Mathematical Physics, 2015, 337 : 767 - 783

← 1 2 3 4 5 →