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The Generalized Scattering Problems: Ergodic Type Theorems

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Abstract

In the paper we prove that for the Schrödinger radial equation with Coulomb type potential the generalized dynamical scattering operator coincides with the corresponding generalized stationary scattering operator. This fact is quantum mechanical analogue of ergodic results in the classical mechanics.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, Milford, CT, USA

    Lev Sakhnovich

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  1. Lev Sakhnovich
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Correspondence to Lev Sakhnovich.

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Communicated by Daniel Aron Alpay.

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Sakhnovich, L. The Generalized Scattering Problems: Ergodic Type Theorems. Complex Anal. Oper. Theory 12, 767–776 (2018). https://doi.org/10.1007/s11785-017-0753-6

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  • DOI: https://doi.org/10.1007/s11785-017-0753-6

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