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Solvable Potentials Derived from Supersymmetric Quantum Mechanics

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Quantum Inversion Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 427))

Abstract

The introduction of supersymmetric quantum mechanics has generated renewed interest in solvable problems of non-relativistic quantum mechanics. This approach offers an elegant way to describe different, but isospectral potentials by interpreting the degeneracy of their energy levels in terms of supersymmetry. The original ideas of supersymmetric quantum mechanics have been developed further in many respects in the past ten years, and have been applied to a large variety of physical problems. The purpose of this contribution is to give a survey of supersymmetric quantum mechanics and its applications to solvable quantum mechanical potentials. Its relation to other models describing isospectral potentials is also discussed here briefly, as well as some of its practical applications in various branches of physics.

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Author notes

  1. G. Lévai

    Present address: Sloane Physics Laboratory, Yale University, P.O. Box 6666, New Haven, CT, 06511, USA

Authors and Affiliations

  1. Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf. 51, H-4001, Hungary

    G. Lévai

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  1. G. Lévai
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Editor information

Editors and Affiliations

  1. Theoretische Kernphysik, Universität Hamburg, Luruper Chaussee 149, D-22761, Hamburg, Germany

    H. V. von Geramb

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© 1994 Springer-Verlag Berlin Heidelberg

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Lévai, G. (1994). Solvable Potentials Derived from Supersymmetric Quantum Mechanics. In: von Geramb, H.V. (eds) Quantum Inversion Theory and Applications. Lecture Notes in Physics, vol 427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13969-1_7

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