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Mean--Field and Nonlinear Dynamics in Many--Body Quantum Systems

1998/11/08 by Vincenzo Manfredi, V. R. Manfredi, Manfredi, V. R. +3
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Information and Cryptography #Quantum optics and atomic interactions #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9811023

6 pages, Latex, presented to 'VII Convegno su Problemi di Fisica Nucleare Teorica', Cortona (Italy), 19-21 October 1998. To be published in the Proceedings, Ed. by S. Rosati, A. Fabrocini and W. Pisent

arxiv created 1998/11/08 · openalex publication_date 1998/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we discuss in detail the nonlinear equations of the mean--field approximation and their connection to the exact many--body Schrödinger equation. Then we analyze the mean--field approach and the nonlinear dynamics of a trapped condensate of weakly--interacting bosons.

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