Effects of the generalized uncertainty principle on the thermal properties of Kemmer oscillator

TL;DR

This paper investigates how the generalized uncertainty principle (GUP) affects the quantum and thermodynamic properties of the Kemmer oscillator, providing analytical solutions and numerical analysis of the system's behavior under quantum gravity modifications.

Contribution

It introduces an analytical study of the Kemmer oscillator's wave function, energy spectrum, and thermodynamics within the GUP framework, highlighting the impact of quantum gravity effects.

Findings

GUP modifies the energy spectrum of the Kemmer oscillator.

Thermodynamic functions are significantly affected by GUP.

Analytical and numerical methods reveal GUP's influence on quantum systems.

Abstract

A series of aspects of the quantum gravity predict a modification in the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP). In the present work, using the momentum space representation, we study the behavior of the Kemmer oscillator in the context of the GUP. The wave function, the probability densities, and the energy spectrum are obtained analytically. Furthermore, the thermodynamic properties of the system are investigated via numerical method and the influence of GUP on thermodynamic functions is also discussed.