Linear confinement of a scalar particle in a Gödel-type spacetime

Vitória, R. L. L.; Furtado, C.; Bakke, K.

doi:10.1140/epjc/s10052-018-5524-7

Cited by 80 publications

(120 citation statements)

References 45 publications

(88 reference statements)

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“…In summary, we showed that the correct expression for the energy eigenvalues for the case k L = 0 of Ref. [2] can be obtained from an appropriate manipulation of the biconfluent Heun differential equation, in opposition what was concluded in [1]. The results obtained in this comment are consistent with those found in [7].…”

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confidence: 79%

“…In a recent paper in this Journal, F. Ahmed [1] has pointed out an incorrect expression in [2]. The author has solved the Klein-Gordon equation without interaction in the Som-Raychaudhuri space-time with the cosmic string using the Nikiforov-Uvarov method and obtained the energy eigenvalues and the corresponding eigenfunctions of the system.…”

mentioning

confidence: 99%

“…The problem solved in [1] is a special case associates to k L = 0 in Ref. [2]. F. Ahmed has claimed that to obtain the correct result, one should start from Eq.…”

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Comment on “Comment on Linear confinement of a scalar particle in a Gödel-type space-time”

2020

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We show that from an appropriate manipulation of the biconfluent Heun differential equation can obtain the correct expression for the energy eigenvalues for the Klein-Gordon equation without potential in the background of Som-Raychaudhuri space-time with a cosmic string as a case particular (k L = 0) of [Vitória et al. Eur. Phys. J. C (2018) 78:44], in opposition what was stated in a recent paper published in this journal [F. Ahmed, Eur. Phys. J. C (2019) 79:682].

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Comment on “Comment on Linear confinement of a scalar particle in a Gödel-type space-time”

2020

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“…Several researchers have studied the physical properties of a series of backgrounds with the Som-Raychaudhuri spacetime. [14] and Vitoria et al have investigated Linear confinement of a scalar particle in a Som-Raychaudhuri space-time [43]. Also, there are a series of backgrounds with the cosmic string in Kerr space-time [44], Schwarzschild space-time [45,46], Gödel-type space-time [40] and AdS space [47].…”

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Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

Eshghi

Hamzavi

2018

Eur. Phys. J. C

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In this paper, we investigate the behavior of a scalar particle within the Yukawa-like potential in a Gödel-type space-time for any l. The behavior of a spinless particle is analyzed in the presence of a topological defect with analytical solutions to the Klein-Gordon equation. By using the generalized series and Nikiforov-Uvarof (NU) methods, we deduce the energy eigenvalues and eigenfunctions. We have discussed on the obtained results.

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“…Finally, let us mention many studies of the Dirac oscillator with topological defects and cosmic string spacetimes in Refs. [28][29][30][31][32][33][34] and analogous investigations for scalar fields in Refs. [35][36][37][38][39].…”

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The Dirac oscillator in a spinning cosmic string spacetime

2019

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We examine the effects of gravitational fields produced by topological defects on a Dirac field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the eigenfunctions and the energy levels of the relativistic field in that background and consider the effect of various parameters, such as the frequency of the rotating frame, the oscillator's frequency, the string density and other quantum numbers. DIRAC EQUATION IN THE COSMIC STRING SPACETIMEbetween quarks as well as the confining part of the phenomenological Cornell potential), the Dirac oscillator and related models have been applied in many other contexts as well, such as quantum optics [7][8][9], supersymmetry [5, 10, 11], nuclear reactions [12], the hadronic spectrum (with the two-body Dirac oscillator) [13,14], the Clifford algebra [15,16], noncommutative space [17,18], thermodynamic properties [19], Lie algebras [20], supersymmetric (non-relativistic) quantum mechanics [21], the supersymmetric path-integral formalism [22], chiral phase transitions in presence of a constant magnetic field [8], the relativistic Landau levels in presence of external magnetic field [23], the Aharonov-Bohm effect [24], and condensed matter physics phenomena and graphene [25]. Similar studies for the Duffin-Kemmer-Petiau (DKP) oscillator, which is analogous to the Dirac oscillator for spinless and spin-one particles, are in Refs. [26,27]. Finally, let us mention many studies of the Dirac oscillator with topological defects and cosmic string spacetimes in Refs. [28][29][30][31][32][33][34] and analogous investigations for scalar fields in Refs. [35][36][37][38][39]. Some studies of relativistic oscillators are in Refs. [40][41][42][43][44][45][46][47].In this work, we examine the relativistic quantum dynamics of Dirac oscillator on the curved spacetime of a rotating cosmic string. From the corresponding Dirac equation, we analyze the influence of the topological defect on the equation of motion, the energy spectrum and the wave-functions. An analogous study for the Klein-Gordon equation is in Ref. [49]. In Sec. 2, we write down the covariant Dirac equation without oscillator in a spinning cosmic string spacetime, and find its wave-functions and energy eigenvalues. In Sec. 3, we present the covariant Dirac oscillator in the same spacetime and obtain the wave-functions and energy spectrum. We present concluding remarks in Sec. 4.

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Linear confinement of a scalar particle in a Gödel-type spacetime

Cited by 80 publications

References 45 publications

Comment on “Comment on Linear confinement of a scalar particle in a Gödel-type space-time”

Comment on “Comment on Linear confinement of a scalar particle in a Gödel-type space-time”

Yukawa-like confinement potential of a scalar particle in a Gödel-type spacetime with any l

The Dirac oscillator in a spinning cosmic string spacetime

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