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

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

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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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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
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
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
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
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
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