Second Order Derivative Supersymmetry and Scattering Problem
高能物理 - 理论
2010-04-06 v1 核理论
摘要
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.
引用
@article{arxiv.hep-th/9404061,
title = {Second Order Derivative Supersymmetry and Scattering Problem},
author = {A. A. Andrianov and F. Cannata and J. -P-Dedonder and M. V. Ioffe},
journal= {arXiv preprint arXiv:hep-th/9404061},
year = {2010}
}
备注
19 pages LaTeX, Preprint SPbU-IP-94-03