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arXiv:1510.04407

Mean-field limit of Bose systems: rigorous results

Mathieu Lewin B

Published Oct 15, 2015• 33 citations
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Abstract

We review recent results about the derivation of the Gross-Pitaevskii equation and of the Bogoliubov excitation spectrum, starting from many-body quantum mechanics. We focus on the mean-field regime, where the interaction is multiplied by a coupling constant of order 1/N where N is the number of particles in the system.
DOI
10.48550/arxiv.1510.04407

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