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Symbolic computations for the two-Coulomb-centers problem in the space of arbitrary dimension

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Abstract

The case of small intercenter distances in the D-dimensional two-Coulomb-centers problem (Z 1 eZ 2) D (D ≥ 2) is studied by solving separated wave equations. The usage of the Maple symbolic computation system (Maple Waterloo Software, Inc. See http://www.maplesoft.com) for solving the problem is under discussion. The obtained results are compared with the previous asymptotic and numerical treatments. The correspondence between energy terms of the systems (Z 1 eZ 2)3 and (Z 1 eZ 2) D is founded.

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Author notes

  1. D. I. Bondar

    Present address: Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, N2 L 3G1, Waterloo, Ontario, Canada

Authors and Affiliations

  1. Department of Theoretical Physics, Uzhgorod National University, Voloshin Str. 54, Uzhgorod, 88000, Ukraine

    D. I. Bondar & V. Yu. Lazur

  2. Institute of Experimental Physics SAS, Watsonova 47, Košice, 04001, Slovakia

    M. Hnatich

Authors
  1. D. I. Bondar
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  2. M. Hnatich
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  3. V. Yu. Lazur
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Bondar, D.I., Hnatich, M. & Lazur, V.Y. Symbolic computations for the two-Coulomb-centers problem in the space of arbitrary dimension. Phys. Part. Nuclei Lett. 5, 255–258 (2008). https://doi.org/10.1134/S1547477108030242

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  • DOI: https://doi.org/10.1134/S1547477108030242

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