Within a stochastic approach to Bose-Einstein Condensation we point out some probabilistic counterparts of the relevant analytical results due to Lieb, Yngvason and Seiringer about the behaviour of the quantum N-body ground state energy under the so called Gross-Pitaevskii scaling limit. In particular we focus our attention on a transition to chaos result for the rigorously associated interacting N-particles system

Bose-Einstein condensation : a transition to chaos result / S. Ugolini. - In: COMMUNICATIONS ON STOCHASTIC ANALYSIS. - ISSN 0973-9599. - 6:4(2012 Dec), pp. 565-587. ((Intervento presentato al convegno The International Conference on Stochastic Analysis and Applications tenutosi a Hammamet, Tunisia nel 2011.

Bose-Einstein condensation : a transition to chaos result

S. Ugolini
2012-12

Abstract

Within a stochastic approach to Bose-Einstein Condensation we point out some probabilistic counterparts of the relevant analytical results due to Lieb, Yngvason and Seiringer about the behaviour of the quantum N-body ground state energy under the so called Gross-Pitaevskii scaling limit. In particular we focus our attention on a transition to chaos result for the rigorously associated interacting N-particles system
Bose-Einstein Condensation; Gross-Pitaevskii scaling limit; Stochastic Mechanics; interacting Nelson diffusions
Settore MAT/06 - Probabilita' e Statistica Matematica
https://www.math.lsu.edu/cosa/6-4-04[353].pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/217553
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