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Asymptotic completeness for a quantum particle in a Markovian short range potential

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Abstract

Absence of bound states and asymptotic completeness are proven for a quantum particle in a time dependent random (Markovian) short range potential. Systems with confining potentials are also considered and unboundedness of the energy in time is shown.

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Authors and Affiliations

  1. Theoretical Physics, ETH-Hönggerberg, CH-8093, Zürich, Switzerland

    Claude-Alain Pillet

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  1. Claude-Alain Pillet
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Communicated by T. Spencer

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Pillet, CA. Asymptotic completeness for a quantum particle in a Markovian short range potential. Commun.Math. Phys. 105, 259–280 (1986). https://doi.org/10.1007/BF01211102

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  • DOI: https://doi.org/10.1007/BF01211102

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