Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background

TL;DR

This paper investigates the thermodynamic properties of a neutral particle with magnetic dipole moment in a cosmic string background, analyzing how topology influences quantum states and deriving energy levels and thermodynamic behavior.

Contribution

It introduces a detailed analysis of the Schrödinger-Pauli equation in a cosmic string spacetime, including solutions and thermodynamic properties considering topological effects.

Findings

Derived energy levels of the neutral particle in the cosmic string background

Analyzed the influence of topology on thermodynamic properties

Provided solutions for the radial part of the wavefunction

Abstract

In this paper, we study the covariant form of the non-relativistic Schrodinger-Pauli equation in the space-time generated by a cosmic string and discuss the solutions of this equation in present of interaction between the magnetic dipole momentum and electromagnetic field. We study the influence of the topology on this system. We obtain the solution of radial part as well as the energy levels. We consider all thermodynamic properties of neutral particle in magnetic cosmic string background by using an approach based on the partition function method.