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A Hamiltonian for the electron-vibrational-rotational problem in the theory of molecules

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Abstract

On the basis of the use of the generalized (natural) coordinates for the description of electrons and nuclei and the representation of a molecule as a stable geometrical figure, where the electrons and nuclei interact by Coulomb’s law, while nuclei with nuclei interact elastically, a Hamiltonian describing simultaneously the electron and vibrational states and the rotations of a molecule as a whole is proposed.

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References

  1. M. V. Vol’kenshtein, L. A. Gribov, M. A. El’yashevich, and B. I. Stepanov, Vibrations of Molecules (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  2. L. A. Gribov, High Energy Chem. 48 (4), 217 (2014).

    Article  Google Scholar 

  3. E. Fermi, Quantum Mechanics (Mir, Moscow, 1965) [in Russian].

    Google Scholar 

  4. G. R. Gruber, Found. Phys. 1 (3), 227 (1971).

    Article  ADS  Google Scholar 

  5. G. R. Gruber, Intern. J. Theor. Phys. 6, 31 (1972).

    Article  Google Scholar 

  6. G. R. Gruber, Intern. J. Theor. Phys. 7, 253 (1973).

    Article  Google Scholar 

  7. G. R. Gruber, Found. Phys. 6 (3), 111 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  8. F. J. Bloore and L. Routh, Nuovo Cimento 25B (1), 78 (1975).

    Article  ADS  MathSciNet  Google Scholar 

  9. K. R. Browinstein, Am. J. Phys. 44, 677 (1976).

    Article  ADS  Google Scholar 

  10. Yu. I. Ponomarev, Opt. Spektrosk. 45, 611 (1978).

    MathSciNet  Google Scholar 

  11. Yu. I. Ponomarev, Izv. Vyssh. Uchebn. Zaved., Fiz. No. 1, 147 (1978).

    Google Scholar 

  12. V. D. Krivchenko, Usp. Fiz. Nauk 135 (2), 338 (1981).

    Google Scholar 

  13. L. A. Gribov, Vibrations of Molecules (Librokom, Moscow, 2009) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Vernadsky Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences, Moscow, 117975, Russia

    L. A. Gribov

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  1. L. A. Gribov
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Correspondence to L. A. Gribov.

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Original Russian Text © L.A. Gribov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 467, No. 1, pp. 26–28.

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Gribov, L.A. A Hamiltonian for the electron-vibrational-rotational problem in the theory of molecules. Dokl. Phys. 61, 105–107 (2016). https://doi.org/10.1134/S1028335816030034

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  • DOI: https://doi.org/10.1134/S1028335816030034

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