Summary: Starting from the physical point of view on the Miura transformation as reflectionless potential and its connection with supersymmetry we define a scaling -deformation of this to obtain -deformed supersymmetric quantum mechanics. An application to an inverse scattering problem is given.
@article{701549, title = {$q$-deformed inverse scattering problem}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1994}, pages = {[103]-114}, mrnumber = {MR1344005}, zbl = {0835.35126}, url = {http://dml.mathdoc.fr/item/701549} }
Hrubý, J. $q$-deformed inverse scattering problem, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1994), pp. [103]-114. http://gdmltest.u-ga.fr/item/701549/