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A rigorous analysis of Anderson localization

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Stochastic Processes in Classical and Quantum Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 262))

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References

  1. J. Fröhlich, F. Martinelli, E. Scoppolo, T. Spencer: “Constructive proof of localization in the Anderson tight binding model”. Comm. Math. Phys. to appear. See also T. Spencer:“The Schrodinger equation with a random potential-a mathematical reviews” Lectures given at the les Houches summer school on Random Systems '84.

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  2. P. Anderson “Absence of diffusion in certain random lattices” Phys. Rev. Lett. 109 (1958).

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  5. F. Delyion, Y. Levy, B. Souillard, “Anderson localization for multidimensional systems at large disorder or large energy” Comm. Math. Phys. (to appear).

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  7. F. Martinelli, E. Scoppola: “A remark on the absence of absolutely continuous spectrum in the Anderson model for large disorder or low energy.” Comm. Math. Phys. 97 (1985).

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  9. G. Jona-Lasinio, F. Martinelli, E. Scoppola: “Multiple Tunnelings in ddimension: a quantum particle in a hierarchical potential” Ann. Inst. H. Poincare 42, 73 (1985).

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  10. F. Martinelli “The wave equation in random domains:localization of the normal modes in the small frequency region”. Ann. Inst. H. Poincare 43 No. 2, (1985).

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Authors and Affiliations

  1. Dipartimento Di Matematica, Universita “La Sapienza” Roma, Italy

    F. Martinelli

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  1. F. Martinelli
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S. Albeverio G. Casati D. Merlini

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© 1986 Springer-Verlag

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Martinelli, F. (1986). A rigorous analysis of Anderson localization. In: Albeverio, S., Casati, G., Merlini, D. (eds) Stochastic Processes in Classical and Quantum Systems. Lecture Notes in Physics, vol 262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171665_82

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  • DOI: https://doi.org/10.1007/3540171665_82

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17166-9

  • Online ISBN: 978-3-540-47222-3

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