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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.

Quantum deformation of relativistic supersymmetry

Sobczyk, Jan (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct. As far...

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