On eigenfunction expansions and scattering theory.
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Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
Michael Demuth (1982)
Banach Center Publications
Kalyan B. Sinha, M. Krishna, Pl. Muthuramalingam (1984)
Annales de l'I.H.P. Physique théorique
Riccardo Adami (2005)
Bollettino dell'Unione Matematica Italiana
This article reflects in its content the talk the author gave at the XVII Congresso dellUnione Matematica Italiana, held in Milano, 8-13 September 2003. We review about some recent results on the problem of deriving the Gross-Pitaevskii equation in dimension one from the dynamics of a quantum system with a large number of identical bosons. We explain the motivations for some peculiar choices (shape of the interaction potential, scaling, initial datum). Open problems are pointed out and difficulties...
D. Yafaev (1992/1993)
Publications mathématiques et informatique de Rennes
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