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

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 40, Number 1, Pages 130–136 (Mi tmf2812)

This article is cited in 13 scientific papers (total in 13 papers)

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

I. V. Komarov, E. A. Solov'ev

Full-text PDF (850 kB) Citations (13)

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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.

Received: 13.06.1978

English version:
Theoretical and Mathematical Physics, 1979, Volume 40, Issue 1, Pages 645–649
DOI: https://doi.org/10.1007/BF01019249

Bibliographic databases:

Language: Russian

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

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf2812

https://www.mathnet.ru/eng/tmf/v40/i1/p130

This publication is cited in the following 13 articles:

Alexander A. Gusev, Evgeni A. Solov'ev, Sergue I. Vinitsky, “ARSENY: A program for computing inelastic transitions via hidden crossings in one-electron atomic ion–ion collisions with classical description of nuclear motion”, Computer Physics Communications, 286 (2023), 108662
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
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
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
M. Hnatič, V.M. Khmara, V.Yu. Lazur, O.K. Reity, Gh. Adam, J. Buša, M. Hnatič, “Quasiclassical Study of the Quantum Mechanical Two-Coulomb-Centre Problem”, EPJ Web of Conferences, 108 (2016), 02028
N. Athavan, P. O. Fröman, N. Fröman, M. Lakshmanan, “Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory”, Journal of Mathematical Physics, 42:11 (2001), 5051
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
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
T. P. Grozdanov, E. A. Solov'ev, “Charge exchange, excitation, and ionization via hidden avoided crossings”, Phys. Rev. A, 42:5 (1990), 2703
M.I. Chibisov, R.K. Janev, “Asymptotic exchange interactions in ion-atom systems”, Physics Reports, 166:1 (1988), 1
T. P. Grozdanov, R. K. Janev, V. Yu. Lazur, “Asymptotic theory of the strongly asymmetric two-Coulomb-center problem”, Phys. Rev. A, 32:6 (1985), 3425
R. K. Janev, C. J. Joachain, N. N. Nedeljkovic, “Molecular-energy splitting of highly excited states in the two-Coulomb-center problem”, Phys. Rev. A, 26:1 (1982), 116
R.K. Janev, L.P. Presnyakov, V.P. Shevelko, “One-electron capture from the inner shells in atom-multicharged ion collisions”, Physics Letters A, 76:2 (1980), 121

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

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