Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system

TL;DR

This paper studies a quantum two-center MICZ--Kepler system under the influence of homogeneous electric and magnetic fields, analyzing spectral corrections and Zeeman effects, with potential applications in quantum dots.

Contribution

It introduces a limit of the two-center MICZ--Kepler system leading to a solvable model with explicit spectral corrections and Zeeman effect analysis.

Findings

First order spectral corrections calculated

Zeeman effect and MICZ-term effects analyzed

Potential realization in quantum dots discussed

Abstract

The quantum two-center MICZ--Kepler system is considered in the limit when one of the interaction centers is situated at infinity, which leads to homogeneous electric and magnetic fields appearing in the system. The emerging system admits separation of variables in the Schr\"{o}dinger equation and is integrable at the classical level. The first order corrections to the unperturbed spectrum of the ordinary MICZ--Kepler system are calculated. Particularly, the linear Zeeman--effect and effects of MICZ-terms are analyzed. The possible realizations of the system in some quantum dots are considered.