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Atti della R. Accademia Nazionale dei Lincei, 1931
1931
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preprint arXiv
2012
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2015

Mean-field limit of Bose systems: rigorous results

Lewin, Mathieu

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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.