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arXiv · 0805.2078

Barrier transmission for the Nonlinear Schrödinger Equation: Surprises of nonlinear transport

K. Rapedius·H. J. Korsch
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Abstract

In this communication we report on a peculiar property of barrier transmission that systems governed by the nonlinear Schroedinger equation share with the linear one: For unit transmission the potential can be divided at an arbitrary point into two sub-potentials, a left and a right one, which have exactly the same transmission. This is a rare case of an exact property of a nonlinear wave function which will be of interest, e.g., for studies of coherent transport of Bose-Einstein condensates through mesoscopic waveguide

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K. Rapedius, H. J. Korsch. 2008-07-03. Barrier transmission for the Nonlinear Schrödinger Equation: Surprises of nonlinear transport. https://doi.org/10.1088/1751-8113/41/35/355001

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