Quantum Pseudodots Under the External Vector and Scalar Fields

TL;DR

This paper analyzes the energy levels and thermodynamic properties of spherical quantum pseudodots under external electric and magnetic fields, providing analytical and numerical results that align with existing studies.

Contribution

It introduces a comprehensive analytical approach to study thermodynamic quantities of quantum pseudodots influenced by external fields.

Findings

Finite energy levels and wave functions calculated.

Thermodynamic quantities such as free energy and magnetization analyzed.

Results agree with previous research.

Abstract

We study the spherical quantum pseudodots in the Schrodinger equation using the pseudo-harmonic plus harmonic oscillator potentials considering the effect of the external electric and magnetic fields. The finite energy levels and the wave functions are calculated. Furthermore, the behavior of the essential thermodynamic quantities such as, the free energy, the mean energy, the entropy, the specific heat, the magnetization, the magnetic susceptibility and the persistent currents are also studied using the characteristic function. Our analytical results are found to be in good agreement with the other works. The numerical results on the energy levels as well as the thermodynamic quantities have also been given.