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Kvantovaya Elektronika, 2020, Volume 50, Number 6, Pages 581–589 (Mi qe17265)  

This article is cited in 4 scientific papers (total in 4 papers)

Physics of ultra cold atoms and their applications

Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states

I. L. Glukhov, A. A. Kamenski, V. D. Ovsyannikov

Department of Physics, Voronezh State University, Voronezh
Full-text PDF (615 kB) Citations (4)
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Abstract: Based on the rules for summing oscillator-strength moments, we derive analytical expressions for environmentally (thermally) induced energy-level shifts and broadenings of circular Rydberg states with maximum orbital (l ) and magnetic (m) quantum numbers, l = |m| = n – 1. The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT ) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. A similar expansion in powers of η for the thermally induced shift also contains a temperature-independent term proportional to 1/n6.
Keywords: atom, circular Rydberg states, sums of oscillator strengths, thermal radiation, energy level width, shift.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-00053-a
Ministry of Education and Science of the Russian Federation 3.1659.2017/4.6
3.7514.2017/8.9
FZGU-2020-0035
Received: 11.03.2020
English version:
Quantum Electronics, 2020, Volume 50, Issue 6, Pages 581–589
DOI: https://doi.org/10.1070/QEL17342
Bibliographic databases:
Document Type: Article
Language: Russian


Citation: I. L. Glukhov, A. A. Kamenski, V. D. Ovsyannikov, “Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states”, Kvantovaya Elektronika, 50:6 (2020), 581–589 [Quantum Electron., 50:6 (2020), 581–589]
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  • https://www.mathnet.ru/eng/qe/v50/i6/p581
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Квантовая электроника Quantum Electronics
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