A proper one-particle relative entropy is introduced for the ground state of trapped Bose particles and its asymptotic behavior under the GP scaling limit is investigated. Some peculiar properties of the relative entropy allow to prove an existence theorem for the probability measure associated to the GP functional and a related weak convergence result.

An entropy approach to Bose-Einstein condensation / F.C. De Vecchi, S. Ugolini. - In: COMMUNICATIONS ON STOCHASTIC ANALYSIS. - ISSN 0973-9599. - 8:4(2014 Dec), pp. 517-529. ((Intervento presentato al convegno International Conference on stochastic analysis and applications tenutosi a Hammamet nel 2013.

An entropy approach to Bose-Einstein condensation

F.C. De Vecchi
Primo
;
S. Ugolini
Ultimo
2014-12

Abstract

A proper one-particle relative entropy is introduced for the ground state of trapped Bose particles and its asymptotic behavior under the GP scaling limit is investigated. Some peculiar properties of the relative entropy allow to prove an existence theorem for the probability measure associated to the GP functional and a related weak convergence result.
Bose-Einstein condensation; Gross-Pitaevskii scaling limit; stochastic mechanics; interacting Nelson-Carlen diffusions; relative entropy between probability measures; weak convergence of probability measures
Settore MAT/06 - Probabilita' e Statistica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/271242
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