We consider a system of interacting diffusions which is naturally associated to the ground state of the Hamiltonian of a system of N pair-interacting bosons and we give a detailed description of the phenomenon of the " localization of the relative entropy ". The method is based on peculiar rescaling properties of the mean energy functional

Localization of relative entropy in Bose-Einstein Condensation of trapped interacting bosons / L.M. Morato, S. Ugolini (PROGRESS IN PROBABILITY). - In: Seminar on Stochastic Analysis, Random Fields and Applications 7 / [a cura di] R.C. Dalang, M. Dozzi, F. Russo. - Basel : Springer, 2013. - ISBN 9783034805445. - pp. 197-210 (( Intervento presentato al 7. convegno Seminar on Stochastic Analysis, Random Fields and Applications : May, 23-27 tenutosi a Ascona nel 2011 [10.1007/978-3-0348-0545-2_9].

Localization of relative entropy in Bose-Einstein Condensation of trapped interacting bosons

S. Ugolini
2013

Abstract

We consider a system of interacting diffusions which is naturally associated to the ground state of the Hamiltonian of a system of N pair-interacting bosons and we give a detailed description of the phenomenon of the " localization of the relative entropy ". The method is based on peculiar rescaling properties of the mean energy functional
Settore MAT/06 - Probabilita' e Statistica Matematica
Ecole Polytechnique Federale Lausanne
Book Part (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/229812
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 2
social impact