Calculation of Wannier-Bloch and Wannier-Stark states

Authors
Gluck, M Kolovsky, AR Korsch, HJ Moiseyev, N
Citation
M. Gluck et al., Calculation of Wannier-Bloch and Wannier-Stark states, EUR PHY J D, 4(3), 1998, pp. 239-246
Citations number
21
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL D
ISSN journal
14346060 → ACNP
Volume
4
Issue
3
Year of publication
1998
Pages
239 - 246
Database
ISI
SICI code
1434-6060(199812)4:3<239:COWAWS>2.0.ZU;2-R
Abstract
The paper discusses the metastable states of a quantum particle in a period ic potential under a constant force (the model of a crystal electron in a h omogeneous electric held), which are known as the Wannier-Stark ladder of r esonances. An efficient procedure to find the positions and widths of reson ances is suggested and illustrated by numerical calculations for a cosine p otential, which are in excellent agreement with complex scaling resonance e nergies.