Berlin 2005 – scientific programme

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A: Atomphysik

A 13: Poster HU 2

A 13.51: Poster

Tuesday, March 8, 2005, 08:30–18:30, Poster HU

Simple models for resonances of the one-dimensional Nonlinear Schrödinger Equation — •Kevin Rapedius, Dirk Witthaut, Stefan Moßmann, and Hans Jürgen Korsch — Fachbereich Physik Technische Universität Kaiserslautern Erwin Schrödinger-Straße, Gebäude 46 D-67663 Kaiserslautern , Postanschrift: Postfach 3049, 67653 Kaiserslautern

We discuss scattering and resonance states of the one-dimensional Nonlinear Schrödinger Equation for two simple model potentials which allow analytical solutions. For an attractive square-well-potential we find bistable behaviour and a shift of resonance positions due to the nonlinear interaction and discuss the transition from resonances to bound states. We furthermore study the properties of resonance states in a repulsive delta-shell-potential.