Fast soliton scattering by delta impurities
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Publication:2460047
DOI10.1007/S00220-007-0261-ZzbMATH Open1126.35068arXivmath/0602187OpenAlexW2126203235MaRDI QIDQ2460047
Author name not available (Why is that?)
Publication date: 14 November 2007
Published in: (Search for Journal in Brave)
Abstract: We study the Gross-Pitaevskii equation (nonlinear Schroedinger equation) with a repulsive delta function potential. We show that a high velocity incoming soliton is split into a transmitted component and a reflected component. The transmitted mass (L^2 norm squared) is shown to be in good agreement with the quantum transmission rate of the delta function potential. We further show that the transmitted and reflected components resolve into solitons plus dispersive radiation, and quantify the mass and phase of these solitons.
Full work available at URL: https://arxiv.org/abs/math/0602187
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