Exact Propagators for Soliton Potentials
Quantum Physics
2008-04-24 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schr\"odinger equation with a multi-soliton potential.
Cite
@article{arxiv.quant-ph/0511238,
title = {Exact Propagators for Soliton Potentials},
author = {Andrey M. Pupasov and Boris F. Samsonov},
journal= {arXiv preprint arXiv:quant-ph/0511238},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/