Exactly solvable systems and the Quantum Hamilton-Jacobi formalism
Constantin Rasinariu, John J. Dykla, Asim Gangopadhyaya, Jeffry V. Mallow
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.
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