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Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators

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Statistical Physics and Dynamical Systems

Part of the book series: Progress in Physics ((PMP,volume 10))

Abstract

In the last decade there has been a growing interest in the spectral properties of the Schrödinger equation and other differential and finite difference equations in L 2 (ℝd), (ℓ2(ℝd) respectively) with random metrically transitive or almost periodic coefficients. In addition to the obvious mathematical reasons for such interest caused by the intuitive logics of the development of the spectral theory of operators, probability theory and mathematical physics, these questions have a considerable importance to a large variety of problems in theoretical physics, first of all in the physics of Condensed matter. Theoretical phys ics is the source of many problems and methods of the spectral theory of the discussed classes of operators and has, up to now, a substantial influence on the development of this region of mathematics.

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Authors
  1. L. A. Pastur
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Editors and Affiliations

  1. MTA MKI, Realtanoda u. 13-15, H-1053, Budapest, Hungary

    J. Fritz  & D. Szász  & 

  2. Dept. of Physics, Lyman Laboratory, Harvard University, 02138, Cambridge, MA, USA

    A. Jaffe

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Pastur, L.A. (1985). Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators. In: Fritz, J., Jaffe, A., Szász, D. (eds) Statistical Physics and Dynamical Systems. Progress in Physics, vol 10. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6653-7_4

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  • DOI: https://doi.org/10.1007/978-1-4899-6653-7_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-6655-1

  • Online ISBN: 978-1-4899-6653-7

  • eBook Packages: Springer Book Archive

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