The leader operators of the $(d+1)$-dimensional relativistic rotating oscillators

TL;DR

This paper derives the main pairs of ladder operators for quantum relativistic rotating oscillators in arbitrary dimensions, utilizing their connection to Pöschl-Teller radial problems with supersymmetry and shape invariance.

Contribution

It introduces a method to obtain leader operators for these models based on their supersymmetric properties and shape invariance, extending understanding in higher-dimensional quantum oscillators.

Findings

Derived the pairs of leader operators for the models.

Linked the models to Pöschl-Teller radial problems.

Highlighted supersymmetry and shape invariance properties.

Abstract

The main pairs of leader operators of the quantum models of relativistic rotating oscillators in arbitrary dimensions are derived. To this end one exploits the fact that these models generate P\"{o}schl-Teller radial problems with remarkable properties of supersymmetry and shape invariance.