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The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions

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Schrödinger Operators, Aarhus 1985

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1218))

Abstract

We give a survey of recent results concerning Schrödinger operators describing the motion of a quantum mechanical particle in ℝ3 or ℝ1 under the influence of a potential concentrated at N centers, N≦∞.

We dedicate particular attention to the case N=∞, with centers forming a periodic lattice (model of a crystal) or with centers randomly distributed with random strengths (models of disordered solids or random alloys).

on leave of absence from Institut für Theoretische Physik, Universität Graz

on leave of absence from 4

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität, D-4630, Bochum 1

    S. Albeverio & W. Kirsch

  2. Research Centre Bielefeld-Bochum Stochastics (BiBoS), Germany

    S. Albeverio

  3. Laboratoire de Physique Théorique, Université des Paris-Sud, Orsay

    F. Gesztesy

  4. Matematisk Institutt, Universitetet i Oslo, Norway

    R. Høegh-Krohn

  5. Courant Institute of Mathematical Sciences, New York

    H. Holden

Authors
  1. S. Albeverio
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  2. F. Gesztesy
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  3. R. Høegh-Krohn
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  4. H. Holden
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  5. W. Kirsch
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Editor information

Erik Balslev

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© 1986 Springer-Verlag

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Albeverio, S., Gesztesy, F., Høegh-Krohn, R., Holden, H., Kirsch, W. (1986). The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions. In: Balslev, E. (eds) Schrödinger Operators, Aarhus 1985. Lecture Notes in Mathematics, vol 1218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073042

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  • DOI: https://doi.org/10.1007/BFb0073042

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  • Print ISBN: 978-3-540-16826-3

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