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
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