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Remarks on the Derivation of Gross-Pitaevskii Equation with Magnetic Laplacian

TitleRemarks on the Derivation of Gross-Pitaevskii Equation with Magnetic Laplacian
Publication TypeBook Chapter
Year of Publication2017
AuthorsOlgiati, A
EditorMichelangeli, A, Dell'Antonio, G
Book TitleAdvances in Quantum Mechanics: Contemporary Trends and Open Problems
Pagination257–266
PublisherSpringer International Publishing
CityCham
ISBN Number978-3-319-58904-6
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.

URLhttps://doi.org/10.1007/978-3-319-58904-6_15
DOI10.1007/978-3-319-58904-6_15

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