A Nonlinear Landau-Zener Formula |
| |
Authors: | Rémi Carles Clotilde Fermanian-Kammerer |
| |
Institution: | 1. CNRS & Univ. Montpellier 2, Mathématiques, CC 051, 34095, Montpellier, France 2. LAMA, UMR CNRS 8050, Université Paris EST, 61, avenue du Général de Gaulle, 94010, Créteil Cedex, France
|
| |
Abstract: | We consider a system of two coupled ordinary differential equations which appears as an envelope equation in Bose–Einstein Condensation. This system can be viewed as a nonlinear extension of the celebrated model introduced by Landau and Zener. We show how the nonlinear system may appear from different physical models. We focus our attention on the large time behavior of the solution. We show the existence of a nonlinear scattering operator, which is reminiscent of long range scattering for the nonlinear Schrödinger equation, and which can be compared with its linear counterpart. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|