Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length

Abstract

Generalized uncertainty principle puts forward the existence of the shortest distances and/or maximum momentum at the Planck scale for consideration. In this article, we investigate the solutions of a two-dimensional Duffin-Kemmer-Petiau (DKP) oscillator within an external magnetic field in a minimal length (ML) scale. First, we obtain the eigensolutions in ordinary quantum mechanics. Then, we examine the DKP oscillator in the presence of an ML for the spin-zero and spin-one sectors. We determine an energy eigenvalue equation in both cases with the corresponding eigenfunctions in the non-relativistic limit. We show that in the ordinary quantum mechanic limit, where the ML correction vanishes, the energy eigenvalue equations become identical with the habitual quantum mechanical ones. Finally, we employ the Euler-Mclaurin summation formula and obtain the thermodynamic functions of the DKP oscillator in the high-temperature scale.

22 pages, 13 figures

References in corpus (5)

• Three-dimensional Dirac oscillator in a thermal bath
• Exact solution of the Klein Gordon equation in the presence of a minimal length
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty
• A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulthén potential energy

Cited by in corpus (5)

• Duffin-Kemmer-Petiau particles in the presence of the spiral dislocation
• The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum
• On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory
• Remarks on the ($2+1$)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity