Energy Spectrum of the Relativistic Duffin-Kemmer-Petiau Equation

Abstract

The bound state energy eigenvalues for the relativistic DKP oscillator and DKP Coulomb potentials are determined by using an exact quantization rule. The corresponding eigenfunctions are also obtained. The results are consistent with those obtained by others methods.

Noninertial effects on the quantum dynamics of scalar bosons

“…Note that using the line element (19) and the representation for the curved-space beta matrices (21), (22), (23) and (24) the condition (12) is satisfied and therefore the current is conserved for this background.…”

Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

“…This equation has been studied in atomic and condensed matter physics [5,6,7,8,9,10,11,12,13,14]. The DKP equation under different kind of potentials have been studied by various authors [15,16,17,18,19,20,21].…”

Quantum dynamics of scalar bosons in a cosmic string background

“…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.…”

“…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].…”