The Duffin-Kemmer-Petiau oscillator

Nedjadi, Youcef; Barrett, R. C.

doi:10.1088/0305-4470/27/12/033

Cited by 140 publications

(142 citation statements)

References 16 publications

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“…Taking into account (23), we conclude that the model of the DKP oscillator with b 1 = 1, b 2 = 0 considered in the paper [16] realizes the case of the Lorentztensor coupling, whereas the alternative model with b 1 = 0, b 2 = 1 proposed here includes the coupling of the Lorentz-vector type.…”

Section: Exact Solutions To the Derived Equationmentioning

confidence: 85%

An Alternative Model for the Duffin–kemmer–petiau Oscillator

2005

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A new oscillator model with different form of the nonminimal substitution within the framework of the DuffinKemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and the different value of the zero-point energy in comparison with that for the Duffin-Kemmer-Petiau oscillator described in the literature.

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Section: Exact Solutions To the Derived Equationmentioning

confidence: 85%

An Alternative Model for the Duffin–kemmer–petiau Oscillator

2005

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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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“…For the external potential introduced with the nominimal substitution [12] p → p − imωη 0 r, (11) where ω is the oscillator frequency and η 0 = 2(β 0 ) 2 − 1, the DKP equation is…”

Section: Dkp Harmonic Oscillatormentioning

confidence: 99%

“…For the spinless DKP oscillator, the general solution for a central problem is presented as follows [12] …”

Section: Dkp Harmonic Oscillatormentioning

confidence: 99%