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Markovian Anderson Model: Bounds for the Rate of Propagation

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Abstract:

We consider the Anderson model in with potentials whose values at any site of the lattice are Markovian independent random functions of time. For solutions to the time-dependent Schrödinger equation we show under some conditions that with probability 1

where for d=1,2 and for .

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  1. Department of Mathematics, University of Orléans, 45067 Orléans Cedex, France.¶E-mail: stcherem@univ-orleans.fr, , , , , , FR

    Serguei Tcheremchantsev

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  1. Serguei Tcheremchantsev
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Received: 30 July 1996 / Accepted: 20 January 1997

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Tcheremchantsev, S. Markovian Anderson Model: Bounds for the Rate of Propagation . Comm Math Phys 187, 441–469 (1997). https://doi.org/10.1007/s002200050144

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  • DOI: https://doi.org/10.1007/s002200050144

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