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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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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