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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 2, Pages 269–287
DOI: https://doi.org/10.4213/tmf2085
(Mi tmf2085)
 

This article is cited in 11 scientific papers (total in 11 papers)

Two-dimensional problem of two Coulomb centers at small intercenter distances

D. I. Bondara, M. Gnatichb, V. Yu. Lazura

a Uzhgorod National University
b Institute of Experimental Physics, Slovak Academy of Sciences
References:
Abstract: We use analytic methods to analyze the discrete spectrum for the problem $(Z_1eZ_2)_2$ in the united-atom limit $(R\ll1)$ and obtain asymptotic expansions for the quantum defect and energy terms of the system $(Z_1eZ_2)_2$ at small intercenter distances $R$ up to terms of the order $O(R^6)$. We investigate the effect of the dimensionality factor on the energy spectrum of the hydrogen molecular ion H$^+_2$.
Keywords: planar problem of two Coulomb centers, boundary layer phenomena, confluent Heun equation, Mathieu functions, Ince equation.
Received: 28.11.2005
Revised: 19.12.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 2, Pages 1100–1116
DOI: https://doi.org/10.1007/s11232-006-0104-7
Bibliographic databases:
Language: Russian
Citation: D. I. Bondar, M. Gnatich, V. Yu. Lazur, “Two-dimensional problem of two Coulomb centers at small intercenter distances”, TMF, 148:2 (2006), 269–287; Theoret. and Math. Phys., 148:2 (2006), 1100–1116
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf2085
  • https://doi.org/10.4213/tmf2085
  • https://www.mathnet.ru/eng/tmf/v148/i2/p269
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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