Oscillator potential for the four-dimensional Hall effect

TL;DR

This paper introduces an exactly solvable four-dimensional oscillator model interacting with an SU(2) Yang monopole, revealing how monopole charge influences the system's properties.

Contribution

The paper presents a novel exactly solvable model of a four-dimensional oscillator coupled with an SU(2) Yang monopole, expanding understanding of higher-dimensional quantum systems.

Findings

Model's properties depend on monopole charge

Exact solvability of the four-dimensional oscillator with monopole

Insights into higher-dimensional quantum effects

Abstract

We suggest the exactly solvable model of oscillator on the four-dimensional sphere interacting with the SU(2) Yang monopole. We show, that the properties of the model essentially depend on the monopole charge.