Nonrelativistic molecular models under external magnetic and AB flux fields

TL;DR

This paper investigates how external magnetic and Aharonov-Bohm flux fields influence energy levels of diatomic molecules in two-dimensional quantum systems, revealing significant shifts especially for non-zero angular momentum states.

Contribution

It introduces a wave function ansatz method to analyze energy eigenvalues in 2D Schrödinger equations with external fields, extending the study to 3D systems and comparing results with field-free cases.

Findings

Aharonov-Bohm flux causes wider energy shifts for m≠0 states.

The influence of AB flux on m=0 states exceeds that of magnetic fields.

Model accuracy is validated by comparison with field-free results.

Abstract

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary $m$-state in two-dimensional Schr\"{o}dinger wave equation with various power interaction potentials in constant magnetic and Aharonov-Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We calculate the energy levels of some diatomic molecules in the presence and absence of external magnetic and AB flux fields using different potential models. We found that the effect of the Aharonov-Bohm field is much as it creates a wider shift for $m\neq 0$ and its influence on $m=0$ states is found to be greater than that of the magnetic field. To show the accuracy of the present model, a comparison is made with those ones obtained in the absence of external fields. An extension to 3-dimensional quantum system have also been presented.