 
Summary: Commun. Math. Phys. 179, 725735 (1996) Communications I
Mathematical
Physics
© SpringerVerlag 1996
Lower Bounds on the Width
of StarkWannier Type Resonances
J. Asch, P. Briet
Centre de Physique Theorique, CNRS  Luminy, Case 907,F13288 Marseille Cedex 9, France.
Email: asch@cpt.univmrs.fr
Received: 1 November 19957Accepted: 29 January1996
Abstract: We prove that the Schrodinger operator d2
/dx2
+Fx +W(x) on I/2
(R)
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
