Superalgebras for the 3D harmonic oscillator and morse quantum potentials

Abstract

In addition to obtaining supersymmetric structure related to the partner Hamiltonians, we get another supersymmetric structure via factorization method for both the 3D harmonic oscillator and Morse quantum potentials. These two supersymmetries induce also an additional supersymmetric structure involving simultaneous laddering relations with respect to two different parameters for both models. These lead to the realizing of Heisenberg Lie superalgebras with two, four and six supercharges. © 2004 Taylor & Francis Group, LLC.