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On Recent Analytical Results for Solution of the Scattering Problem for the Sharply Screened Coulomb Potential

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Abstract

Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function, respectively. The exact representation has been obtained for the transition operator in the configuration space.

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Authors and Affiliations

  1. Department of Computational Physics, St. Petersburg State University, Saint Petersburg, Russia

    S. L. Yakovlev, V. A. Gradusov & M. V. Volkov

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  1. S. L. Yakovlev
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  2. V. A. Gradusov
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  3. M. V. Volkov
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Correspondence to S. L. Yakovlev.

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Yakovlev, S.L., Gradusov, V.A. & Volkov, M.V. On Recent Analytical Results for Solution of the Scattering Problem for the Sharply Screened Coulomb Potential. Few-Body Syst 55, 805–808 (2014). https://doi.org/10.1007/s00601-013-0758-2

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  • DOI: https://doi.org/10.1007/s00601-013-0758-2

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