Quantum superintegrable system for arbitrary spin

TL;DR

This paper generalizes a superintegrable quantum system describing a magnetic dipole to arbitrary spin values, maintaining the same dynamical symmetry as the spin 1/2 case, expanding its theoretical framework.

Contribution

It introduces a generalized superintegrable system for any spin, extending previous models that were limited to spin 1/2, and preserves the original dynamical symmetry.

Findings

Generalization of the superintegrable system to arbitrary spin

Preservation of the original dynamical symmetry

Theoretical framework extension for quantum systems

Abstract

In [1] was considered the superintegrable system which describes the magnetic dipole with spin 1/2 (neutron) in the field of linear current. Here we present its generalization for any spin which preserves superintegrability. The dynamical symmetry stays the same as it is for spin 1/2.