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On the combined effect of different symmetries on quantum mechanical potentials

G. Lévai

Published Nov 30, 2003• 0 citations

Abstract

We study the interrelation of https://www.w3.org/1998/Math/MathML" display="inline"> P T symmetry, supersymmetry and Lie symmetries in the description of one-dimensional quantum mechanical potentials. Compared to their Hermitian counterparts, the complex https://www.w3.org/1998/Math/MathML" display="inline"> P T potentials usually possess a second set of normalizable solutions, and the two sets can be distinguished by the quasi-parity quantum number q = ±1. We demonstrate that this doubling mechanism leads to larger potential algebras and also to the doubling of the SUSY partners of these potentials.

DOI: 10.1201/9781482269079-109

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