Theoretical study of quantum and thermal properties of particles’ bound state in quantum disks

The present study aims to investigate the thermal properties of low-quantum structures (LQS) with a described non-central potential. Additionally, the study investigates the influence of relativistic parameters such as the constituent mass (effective mass) of particles and the effect of thermal properties. The magnitude of distortion of an LQS due to a non-central potential was found to have a profound effect on the system's quantum and thermal properties, which is crucial to understanding the behavior of practical quantum systems in an LQS. This paper studies the critical concepts in the fundamental optimization of mass and thermal properties of interactions in LQS based on canonical operators. It explores and analytically calculates the radial part of the Schrödinger equation at finite temperatures with two intertwined spaces using the normal ordering method in a combination of the Coulomb potential and the distortion potential. We provide analytical expressions for the ground state energy eigenvalues to define the zeroth approximation with the quantum and thermal effect and properties. Results showed that the energy of a system decreases with an increase in temperature and strength of the distortion.

Keywords:

Bound state , Distortion potential , Sturmian function , Schrödinger equation