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Time dependent approach to scattering from impurities in a crystal

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Abstract

A time dependent scattering theory for a quantum mechanical particle moving in an infinite, three dimensional crystal with impurity is given. It is shown that the Hamiltonian for the particle in the crystal without impurity has only absolutely continuous spectrum. The domain of the resulting wave operators is therefore the entire Hilbert space.

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  1. Département de Physique Théorique, Section de Physique, Université de Genève, Genève, Suisse

    Lawrence E. Thomas

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  1. Lawrence E. Thomas
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Thomas, L.E. Time dependent approach to scattering from impurities in a crystal. Commun.Math. Phys. 33, 335–343 (1973). https://doi.org/10.1007/BF01646745

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  • DOI: https://doi.org/10.1007/BF01646745

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