Klein-Gordon field in spinning cosmic-string space-time with the Cornell potential

被引：42

作者：

Hosseinpour, Mansoureh ^{[1
]}

Hassanabadi, Hassan ^{[1
]}

de Montigny, Marc ^{[2
]}

机构：

[1] Shahrood Univ Technol, Fac Phys, POB 3619995161-316, Shahrood, Iran

[2] Univ Alberta, Fac St Jean, 8406 91 St, Edmonton, AB T6C 4G9, Canada

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Klein-Gordon equation; cosmic string; Cornell potential; Heun differential equation; LANDAU-LEVELS; QUANTUM SCATTERING; TOPOLOGICAL DEFECTS; DIRAC OSCILLATOR; BOUND-STATES; PARTICLE; EQUATION; QUANTIZATION; CRYSTAL; PHASE;

D O I：

10.1142/S0219887818501657

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the relativistic quantum dynamics of a Klein-Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We solve the Klein-Gordon equation in the presence of scalar and vector interactions by utilizing the Nikiforov-Uvarov formalism and two ansatze, one of which leads to a biconfluent Heun differential equation. We obtain the wave-functions and the energy levels of the relativistic field in that space-time. We discuss the effect of various physical parameters and quantum numbers on the wave-functions.

引用

页数：21

共 59 条

[1]

[Anonymous], 1988, Special functions of mathematical physics

[2]

[Anonymous], 1995, Heun's Differential Equations

[3]

[Anonymous], FACTORIZATION QUANTU

[4] Torsion and electron motion in quantum dots with crystal lattice dislocations [J].

Aurell, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (04) :571-584

[5] Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field [J].

Bakke, K. .

ANNALS OF PHYSICS, 2014, 341 :86-93

[6] Rotating effects on the Dirac oscillator in the cosmic string spacetime [J].

Bakke, K. .

GENERAL RELATIVITY AND GRAVITATION, 2013, 45 (10) :1847-1859

[7] On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds [J].

Bakke, K. ;

Furtado, C. .

ANNALS OF PHYSICS, 2013, 336 :489-504

[8] Noninertial effects on the Dirac oscillator in a topological defect spacetime [J].

Bakke, K. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2012, 127 (07) :1-8

[9] Gravitational geometric phase in the presence of torsion [J].

Bakke, Knut ;

Furtado, Claudio ;

Nascimento, J. R. .

EUROPEAN PHYSICAL JOURNAL C, 2009, 60 (03) :501-507

[10] Single-particle quantum states in a crystal with topological defects [J].

Bausch, R ;

Schmitz, R ;

Turski, LA .

PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2257-2260

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