Exactly solvable systems and the Quantum Hamilton-Jacobi formalism

Abstract

We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions.

9 Pages, Latex

References in corpus (1)

• Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics

Cited by in corpus (5)

• Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials
• The Quantum Effective Mass Hamilton-Jacobi Problem
• Shape invariance and the exactness of quantum Hamilton-Jacobi formalism
• On the Hamilton-Jacobi method in classical and quantum nonconservative systems
• Supersymmetry and Integrability in Planar Mechanical Systems