Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian
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Date
2017-03-30
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Abstract
The effective dynamics for a Bose-Einstein condensate in the regime of
high dilution and subject to an external magnetic field is governed by a magnetic
Gross-Pitaevskii equation. We elucidate the steps needed to adapt to the magnetic
case the proof of the derivation of the Gross-Pitaevskii equation within the “projection
counting” scheme.