An Alternative Model for the Duffin–kemmer–petiau Oscillator

Abstract

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.

Quantum dynamics of scalar bosons in a cosmic string background

“…The DKP oscillator is a kind of tensor coupling with a linear potential which leads to the harmonic oscillator problem in the weak-coupling limit. Also, a sort of vector DKP oscillator (non-minimal vector coupling with a linear potential [26][27][28][29][30] has been a topic of recent investigation. Vector DKP oscillator is the name given to the system with a Lorentz vector coupling which exhibits an equally spaced energy spectrum in the weak-coupling limit.…”

Quantum dynamics of relativistic bosons through nonminimal vector square potentials

“…Among the potentials used, we can highlight the double-step potential [16,17], the DKP oscillator [18,19], the inversely linear background [20], the mixed minimal-nonminimal vector cusp potential [21].…”

On Duffin–Kemmer–Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound-states for the one-dimensional inversely linear background

“…Nonminimal vector potentials, added by other kinds of Lorentz structures, have already been used successfully in a phenomenological context for describing the scattering of mesons by nuclei. [10][11][12][13][14][15][16][17] Nonminimal vector coupling with a quadratic potential, 18 with a linear potential, 19 and mixed space and time components with a step potential 20,21 and a linear potential 22 have been explored in the literature. See also Ref.…”