The Statistical Properties of Spin-One DKP Oscillator under an External Magnetic Field in Noncommutative Space

Abstract

The spin-one Duffin-Kemmer-Petiau oscillator in uniform magnetic field is studied in noncommutative formalism. The corresponding energy is obtained and thereby the corresponding thermal properties are obtained for both commutative and noncommutative cases.

Klein–Gordon and Dirac Equations with Thermodynamic Quantities

“…In order to evaluate the partition function analytically, we can use the following integral equality over the contour C [6,7,9] 12) where Γ(z) is the Euler Gamma function [11]. With the help of Eq.…”

“…[5,6], the non-commutative effects on thermodynamics quantities have been discussed in graphene. The spin-one DKP oscillator has been analyzed for the statistical functions by taking into account the non-commutative effects with an external magnetic field [7]. In Ref.…”

On the Thermodynamic Properties of the Spinless Duffin-Kemmer-Petiau Oscillator in Noncommutative Plane

“…Up to 4 , with 2 = 1/6, 4 = −1/30, and combining with (34), we obtain the partition function at finite temperature as…”

“…The DKP equation in the presence of the Dirac oscillator interaction called DKP oscillator for spin zero and spin one particles has also been investigated in the NC formalism in publications [26][27][28], with the purpose of obtaining the energy spectrum and studying the noncommutative effect on relativistic quantum mechanics. In addition, the studies of thermal properties of the quantum oscillator have been 2 Advances in High Energy Physics carried out in both commutative and NC space by several authors these years [29][30][31][32][33][34]. By employing the numerical method based on the Euler-MacLaurin formula, one can calculate the associated partition function and obtain the thermodynamic functions, such as the free energy, mean energy, heat capacity, and entropy.…”

Schrödinger equation with a non-central potential: Some statistical quantities

“…In Ref. [22], the relativistic, spin-1 Duffin-Kemmer-Petiau oscillator subjected to an external magnetic field in non-commutative space has been studied for thermal functions.…”