Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem

TL;DR

This paper explores how rotation and Coulomb potential influence the quantum behavior of a spin-1/2 particle in the Aharonov-Bohm effect, using self-adjoint extensions to analyze the energy spectrum.

Contribution

It introduces a novel analysis of the combined effects of rotation and Coulomb potential on the Aharonov-Bohm problem for spin-1/2 particles, employing self-adjoint extension methods.

Findings

Energy spectrum is affected by rotation and Coulomb potential.

Spin degree of freedom plays a significant role in the problem.

Detailed analysis of the combined effects on quantum states.

Abstract

In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-$1/2$ particle in the presence of the Aharonov-Bohm effect. We employ the method of the self-adjoint extensions in the framework of the Pauli-Schr\"odinger equation. We discuss the role of the spin degree of freedom on this problem, find the energy spectrum, and investigate the results in detail.