An Adiabatic Theorem for the Gross-Pitaevskii Equation
Analysis of PDEs
2015-08-13 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We prove an adiabatic theorem for the non-autonomous Gross-Pitaevskii equation in the case of a weak trap. More precisely, we assume that the external potential decays suitably at infinity and admits exactly one bound state.
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Cite
@article{arxiv.1508.02351,
title = {An Adiabatic Theorem for the Gross-Pitaevskii Equation},
author = {Zhou Gang and Philip Grech},
journal= {arXiv preprint arXiv:1508.02351},
year = {2015}
}
Comments
25 pages