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$q$ -deformed inverse scattering problem

Hrubý, J. — 1994

Proceedings of the Winter School "Geometry and Physics"

Summary: Starting from the physical point of view on the Miura transformation as reflectionless potential and its connection with supersymmetry we define a scaling $q$ -deformation of this to obtain $q$ -deformed supersymmetric quantum mechanics. An application to an inverse scattering problem is given.