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Propagation of states in dilation analytic potentials and asymptotic completeness

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Abstract

We estimate the space-time behavior of scattering states for two-body Schrödinger operators with smooth, dilation analytic potentials. We use our estimates to give a simple proof of asymptotic completeness for a class of long-range potentials, including the Coulomb potential plus a fairly general short-range perturbation.

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Author notes

  1. Peter A. Perry

    Present address: Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012, New York, NY, USA

Authors and Affiliations

  1. Department of Physics, Princeton University, 08544, Princeton, NJ, USA

    Peter A. Perry

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  1. Peter A. Perry
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Additional information

Communicated by B. Simon

Supported by USNSF Grant MCS-78-01885

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Perry, P.A. Propagation of states in dilation analytic potentials and asymptotic completeness. Commun.Math. Phys. 81, 243–259 (1981). https://doi.org/10.1007/BF01208898

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  • DOI: https://doi.org/10.1007/BF01208898

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