One-dimensional thermal properties of the Kemmer oscillator

Boumali, Abdelmalek

doi:10.1088/0031-8949/76/6/014

Cited by 51 publications

(50 citation statements)

References 24 publications

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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%

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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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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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“…Also, the behavior of these quantities is completely different in the cases = 푖휂 and = 휂 . When is a pure phase, the behavior of different thermal quantities has a similar comportment as in the case of nondeformed DO in both one and two dimensions [25,26]. On the other hand if is real, these quantities show a strange behavior.…”

Section: Advances In High Energy Physicsmentioning

confidence: 79%

“…The electromagnetic potential associated with the DO has been found by Benitez et al [21]. The DO has attracted a lot of interests both because it provides one of the examples of the Dirac's equation exact solvability and because of its numerous physical applications [22][23][24][25][26][27]. Finally, Franco-Villafañe et al [28] have exposed the proposal of the first experimental microwave realization of the one-dimensional DO.…”

Section: Advances In High Energy Physicsmentioning

confidence: 99%

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The Statistical Properties of theq-Deformed Dirac Oscillator in One and Two Dimensions

Boumali

Hassanabadi

2017

Advances in High Energy Physics

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We study the behavior of the eigenvalues of the one and two dimensions of -deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the -deformed creation and annihilation operators in both dimensions. For a twodimensional case, we have used the complex formalism which reduced the problem to a problem of one-dimensional case. The influence of the -numbers on the eigenvalues has been well analyzed. Also, the connection between the -oscillator and a quantum optics is well established. Finally, for very small deformation , we (i) showed the existence of well-known -deformed version of Zitterbewegung in relativistic quantum dynamics and (ii) calculated the partition function and all thermal quantities such as the free energy, total energy, entropy, and specific heat. The extension to the case of Graphene has been discussed only in the case of a pure phase ( = 푖휂 ).

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