English

Exactly solvable systems and the Quantum Hamilton-Jacobi formalism

High Energy Physics - Theory 2009-11-11 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0501084,
  title  = {Exactly solvable systems and the Quantum Hamilton-Jacobi formalism},
  author = {Constantin Rasinariu and John J. Dykla and Asim Gangopadhyaya and Jeffry V. Mallow},
  journal= {arXiv preprint arXiv:hep-th/0501084},
  year   = {2009}
}

Comments

9 Pages, Latex

R2 v1 2026-07-22T15:28:06.136Z