Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string

TL;DR

This study explores the quantum dynamics and thermal properties of a relativistic spinless particle in a rotating cosmic string spacetime, revealing how topological defects influence quantum behavior and thermodynamics.

Contribution

It introduces a Feshbach-Villars formulation for the Klein-Gordon equation in a rotating cosmic string background and analyzes the system's energy spectrum and thermal properties.

Findings

Energy spectrum depends on rotation and curvature parameters.

Thermal properties vary with topological defect parameters.

Quantum states are affected by the cosmic string's rotation and topology.

Abstract

This paper is concerned with an investigation of the quantum mechanical dynamics of massive, spinless relativistic Klein-Gordon particle in the space-time generated by a rotating cosmic string. The equations of motion are found by the use of the first-order Feshbach-Villars formulation of the Klein-Gordon equation. The wave-functions and the associated energies were deduced ( both in the free and in the interaction case). Following that, the partition function was approximated using Zeta function representation. Moreover, by considering the energy spectrum of the system in question, the thermal properties are presented. We examine the behavior of these properties as a function of the physical parameters of the model such as rotation, curvature, and quantum numbers. Therefore, the impact of the topological defect on the quantum system under investigation is discussed.