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On the Asymptotic Behavior of Eigenfunctions of the Continuous Spectrum at Infinity in Configuration Space for the System of Three Three-Dimensional Like-Charged Quantum Particles

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To our knowledge there are no complete results, even not rigorously mathematically justified, related to a system of three and more quantum particles, interacting by Coulomb pair potentials, and expressed in terms of eigenfunctions. For the system of three such identical particles, asymptotic formulas describing the behavior of eigenfunctions at infinity in configuration space are suggested.

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  1. St. Petersburg State University, St. Petersburg, Russia

    S. B. Levin

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  1. S. B. Levin
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Correspondence to S. B. Levin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 451, 2016, pp. 79–115.

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Levin, S.B. On the Asymptotic Behavior of Eigenfunctions of the Continuous Spectrum at Infinity in Configuration Space for the System of Three Three-Dimensional Like-Charged Quantum Particles. J Math Sci 226, 744–767 (2017). https://doi.org/10.1007/s10958-017-3564-4

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  • DOI: https://doi.org/10.1007/s10958-017-3564-4

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