Effects of Cosmic Dislocation on Non-Relativistic Quantum Particles with Interaction Potential and Thermodynamic Properties

In this work, we investigate the quantum dynamics of non-relativistic particles interact with potential in the background of a linear topological defect produced by cosmic string spacetime. We choose anharmonic oscillator potential and solve the wave equation using the parametric Nikiforov-Uvarov method and determine the exact solution of the quantum system. We show that the eigenvalue solution is influenced by the topological defects and get shifted compared to the flat space results with this potential. Finally, we study the thermodynamic properties of the quantum system and calculate the partition function and other thermodynamic quantities, such as the vibrational free energy, mean free energy, specific heat capacity, and entropy of the system at finite temperature T ≠ 0 and analyze the effects on them PACS 03.65.Pm · 03.65.Ge · 98.80.Cq · 02.30.Gp · 05.70.C