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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2005 Volume 1, 020, 7 pp. (Mi sigma20)
This article is cited in 6 papers

Exact Propagators for Soliton Potentials

Andrey M. Pupasov, Boris F. Samsonov

Department of Physics, Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia

Abstract: 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.

Keywords: Darboux transformations; SUSY QM; soliton potentials; propagator.

MSC: 81Q05; 81Q60

Received: October 1, 2005; in final form November 21, 2005; Published online November 24, 2005

Language: English

DOI: 10.3842/SIGMA.2005.020



Bibliographic databases:
ArXiv: quant-ph/0511238

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