Exact solutions of the Kemmer equation for a Dirac oscillator

Boumali, Abdelmalek; Chétouani, L.

doi:10.1016/j.physleta.2005.08.002

Cited by 48 publications

(31 citation statements)

References 17 publications

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“…Falek and Merad presented both spin-zero and spinone DKP equations in noncommutative space in the (1 + 3)-dimensional case [31]. Recently, there has been an increasing interest on the so-called DKP oscillator [32][33][34][35][36][37][38][39][40][41]. The DKP oscillator considering minimal length [29,42], noncom-mutative phase space [27,28,31,43] and topological defects [44].…”

Section: Introductionmentioning

confidence: 99%

The DKP oscillator with a linear interaction in the cosmic string space-time

2018

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We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We obtain the solution of DKP oscillator in the cosmic string background. Also, we solve it with an ansatz in presence of linear interaction. We obtain the eigenfunctions and the energy levels of the relativistic field in that background.

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Section: Introductionmentioning

confidence: 99%

The DKP oscillator with a linear interaction in the cosmic string space-time

2018

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“…Although the formalisms are equivalent in the case of minimally coupled vector interactions [5][6][7], the DKP formalism enjoys a richness of couplings not capable of being expressed in the KG and Proca theories [8,9]. Recently, there has been increasing interest in the so-called DKP oscillator [10][11][12][13][14][15][16][17][18][19]. The DKP oscillator considering minimal length [20,21] and noncommutative phase space [22][23][24][25] have also appeared in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…The name distinguishes it from the system called a DKP oscillator with Lorentz tensor couplings of Ref. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamics of scalar bosons in a cosmic string background

Castro

2015

Eur. Phys. J. C

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The quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin-KemmerPetiau (DKP) formalism. In particular, the effects of this topological defect in the equation of motion, energy spectrum, and DKP spinor are analyzed and discussed in detail. The exact solutions for the DKP oscillator in this background are presented in closed form.

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“…Dirac relativistic oscillator is an important potential both for theory and application, which was the first time studied by Ito et al [11]. A lot of papers have recently published concerning the solution and properties of the Dirac equation with the Dirac relativistic oscillator in ordinary commutative space [12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%