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Spectral properties of random Schrödinger operators with unbounded potentials

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We investigate spectral properties of random Schrödinger operators Hω = - Δ + ξn(ω)(1 + |n|α) acting onl 2(Z d), where ξn are independent random variables uniformly distributed on [0, 1].

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Moscow State University, 119808, Moscow, Russia

    Y. A. Gordon & S. Molčanov

  2. Department of Mathematics, University of Toronto, M5S-1A1, Toronto, Canada

    V. Jakšić

  3. Division of Physics, Mathematics and Astronomy, California Institute of Technology, 91125, Pasadena, CA, USA

    B. Simon

Authors
  1. Y. A. Gordon
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  2. V. Jakšić
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  3. S. Molčanov
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  4. B. Simon
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Additional information

Communicated by T. Spencer

Research partially supported by a Sloan Doctoral Dissertation Fellowship and NSERC under grant OGP-0007901

Research partially supported by NSF grant DMS-9101716

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Gordon, Y.A., Jakšić, V., Molčanov, S. et al. Spectral properties of random Schrödinger operators with unbounded potentials. Commun.Math. Phys. 157, 23–50 (1993). https://doi.org/10.1007/BF02098017

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  • DOI: https://doi.org/10.1007/BF02098017

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