Magnetic and Quantum Flux Fields with Potential in a Cosmic Dislocation and Thermo-Magnetic Properties

In this work, the quantum dynamics of charge particles interacting with anharmonic oscillator potential in the presence of magnetic and quantum flux fields in a cosmic dislocation are investigated. In fact, it is shown that the energy levels and wave function are influenced by a cosmic dislocation and gets modified. In addition, the eigenvalue solution are modified by the magnetic and quantum flux fields compared to the flat space result with this potential. Afterwards, we utilize this eigenvalue solution to molecular potential models (harmonic oscillator, pseudoharmonic, Coulomb potentials) and presented the eigenvalue solutions. Finally, we study the thermodynamic properties and magnetic properties of the quantum system at finite temperature T ≠ 0 and calculate the partition function and other functions, such as Helmholtz free energy, mean energy, specific heat capacity, entropy, and the persistent currents and analyze the effect of cosmic dislocation and external fields with this potential. PACS 03.65.Pm · 03.65.Ge · 98.80.Cq · 02.30.Gp · 05.70.C