Exact Propagators for Soliton Potentials

Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.

Bibliographic Details
Main Authors:	Andrey M. Pupasov, Boris F. Samsonov
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2005-11-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	Darboux transformations SUSY QM soliton potentials propagator
Online Access:	http://www.emis.de/journals/SIGMA/2005/Paper020/

id	doaj-a7778ea7d01e4c0aafc69aa6808178d2
record_format	Article
spelling	doaj-a7778ea7d01e4c0aafc69aa6808178d22020-11-24T21:48:56ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592005-11-011020Exact Propagators for Soliton PotentialsAndrey M. PupasovBoris F. SamsonovUsing the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.http://www.emis.de/journals/SIGMA/2005/Paper020/Darboux transformationsSUSY QMsoliton potentialspropagator
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Andrey M. Pupasov Boris F. Samsonov
spellingShingle	Andrey M. Pupasov Boris F. Samsonov Exact Propagators for Soliton Potentials Symmetry, Integrability and Geometry: Methods and Applications Darboux transformations SUSY QM soliton potentials propagator
author_facet	Andrey M. Pupasov Boris F. Samsonov
author_sort	Andrey M. Pupasov
title	Exact Propagators for Soliton Potentials
title_short	Exact Propagators for Soliton Potentials
title_full	Exact Propagators for Soliton Potentials
title_fullStr	Exact Propagators for Soliton Potentials
title_full_unstemmed	Exact Propagators for Soliton Potentials
title_sort	exact propagators for soliton potentials
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2005-11-01
description	Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
topic	Darboux transformations SUSY QM soliton potentials propagator
url	http://www.emis.de/journals/SIGMA/2005/Paper020/
work_keys_str_mv	AT andreympupasov exactpropagatorsforsolitonpotentials AT borisfsamsonov exactpropagatorsforsolitonpotentials
_version_	1725890492397256704

Exact Propagators for Soliton Potentials

Similar Items