Solvable Potentials from Supersymmetric Quantum Mechanics

1995/07/27 by Dong Sup Soh, Kyung Hyun Cho, Sang Pyo Kim
Physics and Astronomy · #hep-th

paper · pdf

published as J.Korean Phys.Soc. 28 (1995) 777-782 · 14 pages, Latex

arxiv created 1995/07/27 · arxiv updated 2009/11/30

Abstract

A recurrence relation of Riccati-type differential equations known in supersymmetric quantum mechanics is investigated to find exactly solvable potentials. Taking some simple \it ansätze, we find new classes of solvable potentials as well as reproducing the known shape-invariant ones.

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