Abstract
We consider a system of interacting diffusions which is naturally associated to the ground state of the Hamiltonian of a system of N pairinteracting 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
Mathematics Subject Classification (2010). 60 G 40, 81 S 20.
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Morato, L.M., Ugolini, S. (2013). Localization of Relative Entropy in Bose–Einstein Condensation of Trapped Interacting Bosons. In: Dalang, R., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications VII. Progress in Probability, vol 67. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0545-2_9
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DOI: https://doi.org/10.1007/978-3-0348-0545-2_9
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