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Communications in Mathematical Physics

, Volume 142, Issue 1, pp 169–192 | Cite as

Stark Wannier ladders

  • F. Bentosela
  • V. Grecchi
Article

Abstract

We study the Schrödinger equation for an electron in a one dimensional crystal submitted to a constant electric field. We prove the existence of ladders of resonances, the imaginary part of which is exponentially small with the field.

Keywords

Neural Network Statistical Physic Complex System Imaginary Part Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • F. Bentosela
    • 1
    • 2
  • V. Grecchi
    • 3
  1. 1.Case 907CPT-CNRSMarseille, Cedex 9France
  2. 2.Faculté des Sciences de LuminyUniversité Aix-Marseille IIMarseilleFrance
  3. 3.Dipartimento di MatematicaUniversità di BolognaItaly

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