Semiclassical Propagation of Coherent States for the Hartree Equation

Agissilaos Athanassoulis, Thierry Paul, Federica Pezzotti, Mario Pulvirenti

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper we consider the nonlinear Hartree equation in presence of a given external potential, for an initial coherent state. Under suitable smoothness assumptions, we approximate the solution in terms of a time dependent coherent state, whose phase and amplitude can be determined by a classical flow. The error can be estimated in L2 by ε being the Planck constant. Finally we present a full formal asymptotic expansion. © 2011 Springer Basel AG.
Original languageEnglish
Pages (from-to)1613-1634
Number of pages22
JournalAnnales Henri Poincaré
Volume12
Issue number8
DOIs
Publication statusPublished - Dec 2011

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