Exact solutions of D-dimensional Klein-Gordon oscillator with Snyder-de Sitter algebra

被引：6

作者：

Hemame, Zoubir ^{[1
,2
]}

Falek, Mokhtar ^{[2
]}

Moumni, Mustafa ^{[2
]}

机构：

[1] Univ Khenchela, Dept Matter Sci, Khenchela, Algeria

[2] Univ Biskra, Dept Matter Sci, Lab Photon Phys & Nanomat LPPNNM, Biskra, Algeria

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 10期

关键词：

GENERALIZED UNCERTAINTY PRINCIPLE; DIRAC OSCILLATOR; RELATIVITY; CPT;

D O I：

10.1063/5.0015150

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the effects of Snyder-de Sitter commutation relations on relativistic bosons by solving analytically in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound state spectrum and the corresponding momentum space wave functions are obtained using Gegenbauer polynomials in the one-dimensional space and Jacobi polynomials in the D-dimensional case. Finally, we study the thermodynamic properties of the system in the high-temperature regime where we found that the corrections increase the free energy but decrease the energy, the entropy, and the specific heat that is no longer constant. This work extends the part concerning the Klein-Gordon oscillator for the Snyder-de Sitter case studied in two-dimensional space by Falek et al. [J. Math. Phys. 60, 013505 (2019)].

引用

页数：11

共 50 条

[21] Exact Solutions of the Klein-Gordon Equation for Spherically Asymmetrical Singular Oscillator
Falaye, Babatunde James
[J]. FEW-BODY SYSTEMS, 2012, 53 (3-4) : 563 - 571
[22] Approximate Solutions to the Nonlinear Klein-Gordon Equation in de Sitter Spacetime
Yazici, Muhammet
Sengul, Suleyman
[J]. OPEN PHYSICS, 2016, 14 (01): : 314 - 320
[23] POSITIVE FREQUENCY SOLUTIONS OF THE KLEIN-GORDON EQUATION IN THE N-DIMENSIONAL DE SITTER SPACETIME
LOKAS, EL
[J]. ACTA PHYSICA POLONICA B, 1995, 26 (01): : 19 - 33
[24] Exact Solutions of D-Dimensional Klein-Gordon Equation with an Energy-Dependent Potential by Using of Nikiforov-Uvarov Method
Hassanabadi, H.
Zarrinkamar, S.
Hamzavi, H.
Rajabi, A. A.
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2012, 37 (01) : 209 - 215
[25] Symmetries, conservation laws, reductions, and exact solutions for the Klein-Gordon equation in de Sitter space-times
Jamal, S.
Kara, A. H.
Bokhari, Ashfaque H.
[J]. CANADIAN JOURNAL OF PHYSICS, 2012, 90 (07) : 667 - 674
[26] Bosonic oscillator under a uniform magnetic field with Snyder-de Sitter algebra (vol 60, 013505, 2019)
Falek, M.
Merad, M.
Moumni, M.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (06)
[27] THE SEMILINEAR KLEIN-GORDON EQUATION IN DE SITTER SPACETIME
Yagdjian, Karen
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2009, 2 (03): : 679 - 696
[28] On the Klein-Gordon equation near a de Sitter brane
Bachelot, Alain
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2016, 105 (02): : 165 - 197
[29] Exact Solutions for Generalized Klein-Gordon Equation
Yang, Libo
Wang, Daoming
An, Fengxian
[J]. JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES, 2012, 4 (03): : 351 - 358
[30] New exact solutions of the Klein-Gordon Equation
Yang, Yunjie
Feng, Aifang
He, Yan
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (02): : 188 - 196

← 1 2 3 4 5 →