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TMF, 1979, Volume 40, Number 1, Pages 130–136 (Mi tmf2812)  

This article is cited in 5 scientific papers (total in 5 papers)

Quasiintersection of terms in the problem of two Coulomb centers with strongly different charges

I. V. Komarov, E. A. Solov'ev


Abstract: Asymptotic expansions for the solutions of the problem of two Coulomb centers are obtained for the case when the intercenter distance and one of the charges are simultaneously large parameters. Such a situation is realized in the physically important case of charge exchange of the hydrogen atom on a multiply charged ion. For the splitting of the terms, an asymptotic expression is obtained that agrees well with the results of exact calculation.

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English version:
Theoretical and Mathematical Physics, 1979, 40:1, 645–649

Bibliographic databases:

Received: 13.06.1978

Citation: I. V. Komarov, E. A. Solov'ev, “Quasiintersection of terms in the problem of two Coulomb centers with strongly different charges”, TMF, 40:1 (1979), 130–136; Theoret. and Math. Phys., 40:1 (1979), 645–649

Citation in format AMSBIB
\Bibitem{KomSol79}
\by I.~V.~Komarov, E.~A.~Solov'ev
\paper Quasiintersection of terms in the problem of two Coulomb centers with strongly different charges
\jour TMF
\yr 1979
\vol 40
\issue 1
\pages 130--136
\mathnet{http://mi.mathnet.ru/tmf2812}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=543985}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 1
\pages 645--649
\crossref{https://doi.org/10.1007/BF01019249}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JG40800013}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. Yu. Lazur, Yu. Yu. Mashika, R. K. Janev, T. P. Grozdanov, “Quasicrossing of rydberg terms in the problem of two Coulomb centers with strongly differing charges”, Theoret. and Math. Phys., 87:1 (1991), 401–410  mathnet  crossref  isi
    2. P. P. Gorvat, V. Yu. Lazur, S. I. Migalina, I. M. Shuba, R. K. Janev, “Therm splitting in quantum mechanical double center problem for Dirac equation”, Theoret. and Math. Phys., 109:2 (1996), 1423–1436  mathnet  crossref  crossref  zmath  isi
    3. Hakobyan T., Nersessian A., “Integrability and Separation of Variables in Calogero-Coulomb-Stark and Two-Center Calogero-Coulomb Systems”, Phys. Rev. D, 93:4 (2016), 045025  crossref  isi
    4. M. Hnatich, V. M. Khmara, V. Yu. Lazur, O. K. Reity, “The WKB method for the quantum mechanical two-Coulomb-center problem”, Theoret. and Math. Phys., 190:3 (2017), 345–358  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. Khmara V.M. Hnatic M. Lazur V.Yu. Reity O.K., “Quasicrossings of Potential Curves in the Two-Coulomb-Center Problem”, Eur. Phys. J. D, 72:2 (2018), 39  crossref  isi
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