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Schrödinger difference equation with deterministic ergodic potentials

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Beyond Quasicrystals

Part of the book series: Centre de Physique des Houches ((LHWINTER,volume 3))

Abstract

We review the recent developments in the theory of the one-dimensional tight-binding Schrödinger equation for a class of deterministic ergodic potentials. In the typical examples the potentials are generated by substitutional sequences, like the Fibonacci or the Thue-Morse sequence. We concentrate on rigorous results which will be explained rather than proved. The necessary mathematical background is provided in the text.

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Authors and Affiliations

  1. Research Institute for Solid State Physics, POB 49, H-1525, Budapest 114, Hungary

    András Sütö

  2. Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    András Sütö

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  1. András Sütö
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Editors and Affiliations

  1. Université Paris VII-Denis Diderot, France

    Françoise Axel

  2. CECN-CNRS, Vitry, France

    Denis Gratias

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© 1995 Springer-Verlag Berlin Heidelberg

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Sütö, A. (1995). Schrödinger difference equation with deterministic ergodic potentials. In: Axel, F., Gratias, D. (eds) Beyond Quasicrystals. Centre de Physique des Houches, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03130-8_17

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  • DOI: https://doi.org/10.1007/978-3-662-03130-8_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59251-8

  • Online ISBN: 978-3-662-03130-8

  • eBook Packages: Springer Book Archive

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