Exactly Solvable Potentials by SO(2,2) Dynamical Algebra

TL;DR

This paper utilizes the SO(2,2) dynamical algebra to construct exactly solvable quantum potentials with position-dependent mass, expanding the algebraic methods available for solving such systems.

Contribution

It introduces a spectrum-generating algebra for a class of exactly solvable potentials with position-dependent mass using SO(2,2) algebraic realization.

Findings

Constructed spectrum-generating algebra for position-dependent mass potentials

Provided algebraic framework for exactly solvable potentials

Enhanced methods for solving quantum systems with variable mass

Abstract

The differential realization of the potential group SO(2,2) is used. The spectrum-generating algebra for a kind of exactly solvable potentials endowed with position-dependent mass is constructed.