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

Preprint

3 July 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0805.2078

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

Keywords

BARRIER TRANSMISSION
PROPERTY OF BARRIER
NONLINEAR TRANSPORT
DINGER EQUATION
NONLINEAR SCHR
TRANSMISSION
TRANSPORT
WAVEGUIDE

All Related Versions

Version 1, 2008-05-14, ArXiv
Version 2, 2008-07-03, ArXiv
Published version: Journal of Physics A: Mathematical and Theoretical, 41 (35), 355001.

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