Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 1 (2005), 020, 7 pages      quant-ph/0511238

Exact Propagators for Soliton Potentials

Andrey M. Pupasov and Boris F. Samsonov
Department of Physics, Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia

Received October 01, 2005, in final form November 21, 2005; Published online November 24, 2005

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.

Key words: Darboux transformations; SUSY QM; soliton potentials; propagator.

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