Exact Propagators for Soliton Potentials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Authors: Pupasov, A.M., Samsonov, B.F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209340
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exact Propagators for Soliton Potentials / A.M. Pupasov, B.F. Samsonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 14 назв. — англ.

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.