Details

Autor(en) / Beteiligte

• Rodnianski, I.
• Schlag, W.
• Soffer, A.

Titel

Dispersive analysis of charge transfer models

Ist Teil von

• Communications on pure and applied mathematics, 2005-02, Vol.58 (2), p.149-216

Ort / Verlag

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

Erscheinungsjahr

2005

Link zum Volltext

Quelle

Wiley Online Library Journals Frontfile Complete

Beschreibungen/Notizen

• 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.