Mean-field limit of Bose systems: rigorous results
classification
🧮 math-ph
cond-mat.quant-gasmath.APmath.MP
keywords
mean-fieldresultsbogoliubovboseconstantcouplingderivationequation
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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.
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