Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: Spectrum and dynamics

被引：21

作者：

N'Dolo, Emanonfi Elias ^{[1
]}

Samary, Dine Ousmane ^{[1
,2
]}

Ezinvi, Baloitcha ^{[1
]}

Hounkonnou, Mahouton Norbert ^{[1
]}

机构：

[1] Univ Abomey Calavi, Int Chair Math Phys & Applicat ICMPA UNESCO Chair, Fac Sci & Tech, 072BP50, Cotonou, Benin

[2] Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Potsdam, Germany

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷 / 05期

关键词：

Noncommutative quantum and field theory; Dirac and Klein-Gordon oscillator; cosmic string;

D O I：

10.1142/S0219887820500784

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

From a study of an oscillator in a 4D noncommutative (NC) spacetime, we establish the Hamilton equations of motion. The formers are solved to give the oscillator position and momentum coordinates. These coordinates are used to build a metric similar to that describing a cosmic string. On this basis, Dirac and Klein-Gordon oscillators are investigated. Their spectrum and dynamics are analyzed giving rise to novel interesting properties.

引用

页数：18

共 50 条

[41] Wigner function for Klein-Gordon oscillator in commutative and noncommutative spaces
Hassanabadi, S.
Ghominejad, M.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (06):
[42] Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time
Ahmed, Faizuddin
[J]. ADVANCES IN HIGH ENERGY PHYSICS, 2020, 2020
[43] KLEIN-GORDON FIELD IN A NAKED-SINGULARITY BACKGROUND
MARTELLINI, M
REINA, C
TREVES, A
[J]. PHYSICAL REVIEW D, 1978, 17 (10): : 2573 - 2575
[44] Dirac and Klein-Gordon equations with equal scalar and vector potentials
Alhaidari, AD
Bahlouli, H
Al-Hasan, A
[J]. PHYSICS LETTERS A, 2006, 349 (1-4) : 87 - 97
[45] Relativistic particle in a box: Klein-Gordon versus Dirac equations
Alberto, Pedro
Das, Saurya
Vagenas, Elias C.
[J]. EUROPEAN JOURNAL OF PHYSICS, 2018, 39 (02)
[46] Geometrizing the Klein-Gordon and Dirac equations in doubly special relativity
Franchino-Vinas, S. A.
Relancio, J. J.
[J]. CLASSICAL AND QUANTUM GRAVITY, 2023, 40 (05)
[47] Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
Podles, P
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 181 (03) : 569 - 585
[48] Thermal properties of the 2D Klein-Gordon oscillator in a cosmic string space-time
Bouzenada, A.
Boumali, A.
Serdouk, F.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2023, 216 (01) : 1055 - 1067
[49] Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations
Wibowo, Ratno Bagus Edy
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 881 - 890
[50] NON-RELATIVISTIC LIMITS OF THE KLEIN-GORDON AND DIRAC EQUATIONS
SCHOENE, AY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (01) : 36 - 47

← 1 2 3 4 5 →