Physics Letters A
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.
Rasinariu, C, J Dykla, A Gangopadhyaya, and J Mallow. "Exactly solvable systems and the quantum Hamilton Jacobi formalism." http://arxiv.org/pdf/hep-th/0501084.pdf
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© 2005 The Authors.
Author Posting. © 2005. This article is posted here by permission Elsevier for personal use, not for redistribution. The article was published in Physics Letters A 338, 2005. http://dx.doi.org/10.1016/j.physleta.2005.03.012