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Title: Existence of the Stark-Wannier quantum resonances

In this paper, we prove the existence of the Stark-Wannier quantum resonances for one-dimensional Schrödinger operators with smooth periodic potential and small external homogeneous electric field. Such a result extends the existence result previously obtained in the case of periodic potentials with a finite number of open gaps.
Authors:
 [1]
  1. Department of Physics, Computer Sciences and Mathematics, University of Modena e Reggio Emilia, Modena (Italy)
Publication Date:
OSTI Identifier:
22403062
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 12; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRIC FIELDS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; POTENTIALS; RESONANCE