Time Dependent Supersymmetry in Quantum Mechanics
Quantum Physics
2007-05-23 v1
Abstract
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al. are extended to the nonstationary Schr\"odinger equation. All these constructions are based on the time-dependent Darboux transformation. The superalgebra over the conventional Lie algebra is constructed. Examples of time-dependent exactly solvable potentials are given.
Cite
@article{arxiv.quant-ph/9709040,
title = {Time Dependent Supersymmetry in Quantum Mechanics},
author = {Vladislav G. Bagrov and Boris F. Samsonov},
journal= {arXiv preprint arXiv:quant-ph/9709040},
year = {2007}
}
Comments
Talk given at the 7-th Lomonosov Conference "Problems of Fundamental Physics", 24-30 August, 1995, see proceedings book (with the minor corrections) Moscow, 1997, p. 54-61