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Mathematical Results in Quantum Mechanics pp 33–36Cite as

Birkhäuser

Stark ladders and perturbation theory

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 70))

Abstract

We consider the Bloch problems with a finite number of open gaps and we prove, for any external weak enough electric field, the existence of a finite number of Stark ladders, given by complex translation, decoupled band approximation and regular perturbation theory.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, I-40127, Bologna, Italy

    V. Grecchi

  2. Dipartimento di Matematica, Università di Modena, I-41100, Modena, Italy

    M. Maioli & A. Sacchetti

Authors
  1. V. Grecchi
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  2. M. Maioli
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  3. A. Sacchetti
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Editor information

Editors and Affiliations

  1. Technische Universität Clausthal, Institut für Mathematik, Erzstrasse 1, D-38678, Clausthal-Zellerfeld, Germany

    M. Demuth

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, Moscow, Russia

    P. Exner

  3. Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    H. Neidhardt

  4. Université d’Aix-Marseille II et, Centre de Physique Théorique, CNRS — Luminy — Case 907, F-13288, Marseille Cedex 9, France

    V. Zagrebnov

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© 1994 Springer Basel AG

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Grecchi, V., Maioli, M., Sacchetti, A. (1994). Stark ladders and perturbation theory. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_6

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  • DOI: https://doi.org/10.1007/978-3-0348-8545-4_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9673-3

  • Online ISBN: 978-3-0348-8545-4

  • eBook Packages: Springer Book Archive

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