Superstatistics of Schr\"odinger Equation with Pseudoharmonic potential in an External Magnetic and Aharanov-Bohm(AB) Fields

TL;DR

This paper investigates the thermodynamic properties of a pseudoharmonic potential system under external magnetic and Aharonov-Bohm fields using superstatistics, analyzing diatomic molecules and varying deformation parameters.

Contribution

It introduces a superstatistics approach to analyze thermodynamic properties of pseudoharmonic potentials in external fields, including effects of deformation parameters and molecular specifics.

Findings

Thermodynamic properties depend on magnetic and AB fields.

Variation in deformation parameter q affects thermodynamic behavior.

Results are illustrated with graphs for clarity.

Abstract

In this work, the thermodynamic property of pseudoharmonic potential in the presence of external magnetic and AB fields is investigated. We used effective Boltzmann factor within the superstatistics formalism to obtain the thermodynamic properties such as Helmholtz free energy (F), Internal energy (U), entropy(S) and specific heat (C) of the system. In addition, we discuss the result of the thermodynamic properties of some selected diatomic molecules of N2, Cl2, I2 and CH using their experimental spectroscopic parameters and that of the variation of the deformation parameter of q=0,0.3,0.7. We also illustrated with some graphs for clarity of our results in both cases.