Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-18
Physics
High Energy Physics
High Energy Physics - Theory
Accepted for publication in Phys. Lett. A
Scientific paper
10.1016/j.physleta.2007.10.002
Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr\"odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.
Binder Yevgeny
Cherqui Charles
Gangopadhyaya Asim
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