Premium
Dispersive analysis of charge transfer models
Author(s) -
Rodnianski I.,
Schlag W.,
Soffer A.
Publication year - 2005
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20066
Subject(s) - mathematics , hamiltonian (control theory) , charge (physics) , nonlinear system , nonlinear schrödinger equation , transfer (computing) , completeness (order theory) , mathematical physics , transfer matrix , mathematical analysis , schrödinger equation , physics , quantum mechanics , mathematical optimization , parallel computing , computer science , computer vision
We prove dispersive estimates for the time‐dependent Schrödinger equation with a charge transfer Hamiltonian. As a by‐product we also obtain another proof of asymptotic completeness of the wave operators for a charge transfer model established earlier by K. Yajima and J. M. Graf. We also consider a more general matrix non‐self‐adjoint charge transfer problem. This model appears naturally in the study of nonlinear multisoliton systems and is specifically motivated by the problem of asymptotic stability of multisoliton states of a nonlinear Schrödinger equation. © 2004 Wiley Periodicals, Inc.