Thermal properties of (2+1) dimensional relativistic oscillator in non-commutative space

Abstract

In this work, we have studied the thermal properties of Klein-Gordon oscillator (KGO) under the effect of a uniform magnetic field in noncommutative space, where the exact energy eigenvalues and normalized wave functions are obtained analytically. In this study, we found that the geometric spatial deformation of (KGO) is equivalent to the behavior of the Klein-Gordon equation in a commutative space describing the oscillatory motion of a spinless particle subjected to the action of a constant magnetic field, which means that the studied system has been influenced by the NC geometry.