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Commun. Math. Phys. 179, 725-735 (1996) Communications I Mathematical

Summary: Commun. Math. Phys. 179, 725-735 (1996) Communications I
Springer-Verlag 1996
Lower Bounds on the Width
of Stark-Wannier Type Resonances
J. Asch, P. Briet
Centre de Physique Theorique, CNRS - Luminy, Case 907,F-13288 Marseille Cedex 9, France.
E-mail: asch@cpt.univ-mrs.fr
Received: 1 November 19957Accepted: 29 January1996
Abstract: We prove that the Schrodinger operator --d2
+Fx +W(x) on I/2
with W bounded and analytic in a strip has no resonances in a region
lmE> -exp(-C/F).
1. Introduction and Main Result
The resonance problem of a Schrodinger particle subject to an electric field with non-
vanishing mean bears interesting physical and mathematical aspects and has attracted
much activity in both fields. From the point of view of transport in solids not only


Source: Asch, Joachim - Centre De Physique Theorique, Campus de Luminy, Case 907


Collections: Mathematics