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arxiv: quant-ph/0511238 · v1 · submitted 2005-11-27 · 🪐 quant-ph · math-ph· math.MP· nlin.SI

Exact Propagators for Soliton Potentials

classification 🪐 quant-ph math-phmath.MPnlin.SI
keywords darbouxequationequivalentlyexactexplicitexpressionmechanicsmethod
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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.

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