## Wannier-Stark Resonances in optical and semiconductor superlattices

• In this work, we discuss the resonance states of a quantum particle in a periodic potential plus static force. Originally this problem was formulated for a crystalline electron subject to the static electric field and is known nowadays as the Wannier-Stark problem. We describe a novel approach to the Wannier-Stark problem developed in recent years. This approach allows to compute the complex energy spectrum of a Wannier-Stark system as the poles of a rigorously constructed scattering matrix and, in this sense, solves the Wannier-Stark problem without any approximation. The suggested method is very efficient from the numerical point of view and has proven to be a powerful analytic tool for Wannier-Stark resonances appearing in different physical systems like optical or semiconductor superlattices.

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Verfasserangaben: Markus Glück, Andrey R. Kolovsky, Hans Jürgen Korsch urn:nbn:de:hbz:386-kluedo-11988 Preprint Englisch 2001 2001 Technische Universität Kaiserslautern 08.06.2001 Quantum mechanics ; Wannier-Stark systems ; lifetime statistics ; lifetimes ; optical lattices ; resonances ; semiconductor superlattice Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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