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Regarding the Main Spectral Lines of a Two-dimensional Two-Electron Atom

  • V. V. SkobelevEmail author
ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY

The energy of a two-dimensional two-electron atom is calculated in its lowest excited states; together with the previously calculated energy in the ground state, this makes it possible to find the screening constant σ in the lowest excited state and the fundamental frequencies of radiation of such atoms (for example, Не), which can, in principle, be obtained in the Bose condensate phase as has already been done with Na atoms. The possibility of experimental verification of the results is indicated. Errors incurred by other authors in their calculations of σ in the excited state of the two-dimensional He atom are also pointed out.

Keywords

two-dimensional two-electron atom screening constant excited state fundamental frequencies 

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References

  1. 1.
    H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms, Springer-Verlag, Berlin (1957).CrossRefzbMATHGoogle Scholar
  2. 2.
    A. Gorlitz et al., Phys. Rev. Lett., 87, 130402 (2001).ADSCrossRefGoogle Scholar
  3. 3.
    B. Zaslow and C. E. Zandler, Amer. J. Phys., 35, 1118 (1967).ADSCrossRefGoogle Scholar
  4. 4.
    A. Cisneros and N. V. McIntosh, J. Math. Phys., 10, 277 (1968).ADSCrossRefGoogle Scholar
  5. 5.
    V. V. Skobelev, Zh. Eksp. Teor. Fiz., 152, No. 12, 1241 (2017).CrossRefGoogle Scholar
  6. 6.
    V. V. Skobelev, Zh. Eksp. Teor. Fiz., 153, No. 2, 220 (2018).CrossRefGoogle Scholar
  7. 7.
    V. V. Skobelev, Russ. Phys. J., 61, No. 2, 312 (2018).CrossRefGoogle Scholar
  8. 8.
    A. A. Sokolov, Yu. M. Loskutov, and I. M. Ternov, Quantum Mechanics, Holt, Rinehart & Winston, Austin (1966).Google Scholar
  9. 9.
    E. A. Hylleraas, Z. Phys., 63, 291 (1930).ADSCrossRefGoogle Scholar
  10. 10.
    E. A. Hylleraas, Z. Phys., 63, 771 (1930).ADSCrossRefGoogle Scholar
  11. 11.
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, Pergamon Press, London (1977).zbMATHGoogle Scholar
  12. 12.
    S. H. Patil, Eur. J. Phys., 29, 517 (2008).CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Moscow Polytechnic UniversityMoscowRussia

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