Large Parabosons versus supersymmetry in Jahn-Teller Systems

TL;DR

This paper compares parabosons and supersymmetry in Jahn-Teller systems, demonstrating that supersymmetric Hamiltonians can be expressed using paraboson operators, highlighting their theoretical connection.

Contribution

It shows that the supersymmetric Jahn-Teller Hamiltonian can be formulated with paraboson operators, bridging two approaches in the study of Jahn-Teller systems.

Findings

Supersymmetric Jahn-Teller Hamiltonian expressed with paraboson operators

Comparison of parabosons and supersymmetry in Jahn-Teller systems

Theoretical link established between parabosons and supersymmetry

Abstract

The applications of parabosons by Schmutz (1980) and of supersymmetry by Jarvis {\em et al.} (1984) in Jahn-Teller systems are compared and contrasted. Although a parasupersymmetric Jahn-Teller system has not yet been identified, the method of Schmutz is used here to show that the $E \times \epsilon $ supersymmetric Jahn-Teller Hamiltonian can be written in terms of paraboson operators.