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arXiv · hep-th/9404061

Second Order Derivative Supersymmetry and Scattering Problem

A. A. Andrianov·F. Cannata·J. -P-Dedonder·M. V. Ioffe
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Abstract

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We study scattering amplitudes for that problem. We also study the role of a dilatation of the spatial coordinate leading to a q-deformed supersymmetric algebra. An explicit model for the scattering amplitude is constructed in terms of a hypergeometric function which corresponds to a reflectionless potential with infinitely many bound states.

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A. A. Andrianov, F. Cannata, J. -P-Dedonder, M. V. Ioffe. 1994-04-12. Second Order Derivative Supersymmetry and Scattering Problem. https://doi.org/10.1142/s0217751x95001261

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