2004/01/31 by A. Alonso-Izquierdo, A. Alonso Izquierdo, M. A. González León +3
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.1088/0305-4470/37/43/020
published as J.Phys.A37:10323-10338,2004 · 14 pages, 2 figures, version to appear in J. Phys. A: Math. Gen
arxiv created 2004/05/04 · openalex publication_date 2004/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Superpotentials in supersymmetric classical mechanics are no more than the Hamilton characteristic function of the Hamilton–Jacobi theory for the associated purely bosonic dynamical system. Modulo a global sign, there are several superpotentials ruling Hamilton–Jacobi separable supersymmetric systems, with a number of degrees of freedom greater than 1. Here, we explore how supersymmetry and separability are entangled in the quantum version of this kind of system. We also show that the planar anisotropic harmonic oscillator and the two Newtonian centres of force problem admit two non-equivalent supersymmetric extensions with different ground states and Yukawa couplings.