Quasi-Exactly Solvable Models with Spin-Orbital Interaction

TL;DR

This paper introduces the first quasi-exactly solvable models that incorporate spin-orbital interactions, providing algebraic solutions that expand the understanding of such complex quantum systems.

Contribution

It constructs the first known quasi-exactly solvable models with spin-orbital interaction, offering new algebraic solutions in this domain.

Findings

Models admit incomplete sets of exact solutions

First examples of their kind in the literature

Expand the class of quasi-exactly solvable models

Abstract

First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit (but still incomplete) sets of exact (algebraic) solutions.