Thermodynamic Properties of the Three-Dimensional Dirac Oscillator with Aharonov–Bohm Field and Magnetic Monopole Potential

Hassanabadi, H.; Sargolzaeipor, S.; Yazarloo, B. H.

doi:10.1007/s00601-015-0944-5

Cited by 41 publications

(28 citation statements)

References 37 publications

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“…In recent years, thermodynamic properties of quantum systems [86][87][88][89][90], quantum Hall effect [23,91,92], and displaced Fock states [93,94] and the possibility of building a coherent state [95][96][97][98] have attracted a great current research interest in the literature. It is well known in nonrelativistic quantum mechanics that the Landau quantization is the simplest system that we can work with in the studies of the quantum Hall effect.…”

Section: Discussionmentioning

confidence: 99%

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Ahmed

2020

Advances in High Energy Physics

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In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

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Section: Discussionmentioning

confidence: 99%

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Ahmed

2020

Advances in High Energy Physics

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“…Based on the model for a relativistic quantum oscillator that interacts with a spin- 1 2 fermionic field, which is known in the literature as the Dirac oscillator [63][64][65][66][67][68][69][70][71][72][73][74], Bruce and Minning proposed a model for a relativistic quantum oscillator that interacts with a scalar field, where this model has become known in the literature as the Klein-Gordon oscillator [31,[75][76][77][78][79][80][81][82][83][84][85][86]. The Klein-Gordon oscillator is described through the coupling ∂ μ + mωX μ into the Klein-Gordon equation, where ω is the angular frequency of the Klein-Gordon oscillator and X μ = (0, ρ, 0, 0).…”

Section: Klein-gordon Oscillatormentioning

confidence: 99%

Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

Vitória

2019

Eur. Phys. J. C

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We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein-Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.

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“…Since that the relativistic version of the quantum harmonic oscillator (QHO) for spin-1/2 particles was formulated in the literature in 1989 by M. Moshinsky and A. Szczepaniak, the so-called Dirac oscillator (DO) [1], several works on this model have been and continue being performed in different areas of physics, such as in thermodynamics [2,3], nuclear physics [4][5][6], quantum chromodynamics [7,8], quantum optics [9,10], and graphene physics [11][12][13]. Besides that, the OD also is studied in other interesting physical contexts, such as in quantum phase transitions [14,15], noncommutative spaces [16,17], minimal length scenario [18,19], supersymmetry [20,21], etc.…”

Section: Introductionmentioning

confidence: 99%

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

Oliveira

2019

Eur. Phys. J. C

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In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov-Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe that this spinor is written in terms of the confluent hypergeometric functions and this spectrum explicitly depends on the quantum numbers n and m l , parameters s and η associated to the topological and spin effects, quantum phase Φ AC , and of the angular velocity Ω associated to the noninertial effects of a rotating frame. In the nonrelativistic limit, we obtain the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. We note that the relativistic and nonrelativistic spectra grow in absolute values as functions of η, Ω, and Φ AC and its periodicities are broken due to the rotating frame. Finally, we compared our problem with other works, where we verified that our results generalizes some particular planar cases of the literature.

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Thermodynamic Properties of the Three-Dimensional Dirac Oscillator with Aharonov–Bohm Field and Magnetic Monopole Potential

Cited by 41 publications

References 37 publications

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

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