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arXiv · 1508.02351

An Adiabatic Theorem for the Gross-Pitaevskii Equation

Zhou Gang·Philip Grech
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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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Zhou Gang, Philip Grech. 2015-08-12. An Adiabatic Theorem for the Gross-Pitaevskii Equation. https://arxiv.org/abs/1508.02351

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