TY  - INPR
A1  - Glück, Markus
A1  - Kolovsky, Andrey R.
A1  - Korsch, Hans Jürgen
T1  - Wannier-Stark Resonances in optical and semiconductor superlattices
N2  - 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.
KW  - Quantum mechanics
KW  - Wannier-Stark systems
KW  - resonances
KW  - lifetimes
KW  - lifetime statistics
KW  - optical lattices
KW  - semiconductor superlattice
Y1  - 2001
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1289
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-11988
ER  -