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
Keywords
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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