American Journal of Physics and Applications

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To the Theory of Low-Dimensional Hydrogen Molecules

Received: Sep. 06, 2018    Accepted: Oct. 05, 2018    Published: Nov. 09, 2018
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Abstract

Using analytical and numerical methods, the possibility of existence of the elongated and flat hydrogen molecules H2 is first analyzed by analogy with the possibility of existence of low-dimensional single- and two-electron atoms previously proved theoretically (including us) and the impossibility of existence of the same multi-electron atom first pointed out in one of our previous works. In principle, conclusions of the present work can be verified experimentally, since low-dimensional, that is, one- and two-dimensional atoms were obtained experimentally long time ago. In our opinion, the material presented in the Appendix is of independent methodical interest because of its possible inclusion in traditional courses of quantum mechanics.

DOI 10.11648/j.ajpa.20180605.12
Published in American Journal of Physics and Applications ( Volume 6, Issue 5, September 2018 )
Page(s) 115-127
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

One - Two- Dimensional Hydrogen Molecules, Binding Energy, Interaction Energy, Minimum

References
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[3] V. V. Skobelev, JETP, 125, No. 6, 1058 (2017).
[4] V. V. Skobelev, JETP, 126, No. 2, 183 (2018).
[5] V. V. Skobelev, JETP, 126, No. 5, 645 (2018).
[6] A. A. Sokolov, Yu. M. Loskutov, and I. M. Ternov, Quantum Mechanics, Holt, Rinehart & Winston, Austin, Texas (1966).
[7] L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 3, Quantum Mechanics: Non-Relativistic Theory, Third Edition, Pergamon Press, Oxford (1977).
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[9] E. A. Hylleraas, Z. Phys., 63, 771 (1930).
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[11] I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Eighth Edition, Academic Press, Elsevier, Oxford (2014).
[12] V. V. Skobelev, JETP, 126, No. 3, 333 (2018).
[13] V. V. Skobelev, Russ. Phys. J., 58, No. 2, 163 (2015).
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  • APA Style

    Vladimir V. Skobelev. (2018). To the Theory of Low-Dimensional Hydrogen Molecules. American Journal of Physics and Applications, 6(5), 115-127. https://doi.org/10.11648/j.ajpa.20180605.12

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    ACS Style

    Vladimir V. Skobelev. To the Theory of Low-Dimensional Hydrogen Molecules. Am. J. Phys. Appl. 2018, 6(5), 115-127. doi: 10.11648/j.ajpa.20180605.12

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    AMA Style

    Vladimir V. Skobelev. To the Theory of Low-Dimensional Hydrogen Molecules. Am J Phys Appl. 2018;6(5):115-127. doi: 10.11648/j.ajpa.20180605.12

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  • @article{10.11648/j.ajpa.20180605.12,
      author = {Vladimir V. Skobelev},
      title = {To the Theory of Low-Dimensional Hydrogen Molecules},
      journal = {American Journal of Physics and Applications},
      volume = {6},
      number = {5},
      pages = {115-127},
      doi = {10.11648/j.ajpa.20180605.12},
      url = {https://doi.org/10.11648/j.ajpa.20180605.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajpa.20180605.12},
      abstract = {Using analytical and numerical methods, the possibility of existence of the elongated and flat hydrogen molecules H2 is first analyzed by analogy with the possibility of existence of low-dimensional single- and two-electron atoms previously proved theoretically (including us) and the impossibility of existence of the same multi-electron atom first pointed out in one of our previous works. In principle, conclusions of the present work can be verified experimentally, since low-dimensional, that is, one- and two-dimensional atoms were obtained experimentally long time ago. In our opinion, the material presented in the Appendix is of independent methodical interest because of its possible inclusion in traditional courses of quantum mechanics.},
     year = {2018}
    }
    

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    AU  - Vladimir V. Skobelev
    Y1  - 2018/11/09
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ajpa.20180605.12
    DO  - 10.11648/j.ajpa.20180605.12
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 115
    EP  - 127
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20180605.12
    AB  - Using analytical and numerical methods, the possibility of existence of the elongated and flat hydrogen molecules H2 is first analyzed by analogy with the possibility of existence of low-dimensional single- and two-electron atoms previously proved theoretically (including us) and the impossibility of existence of the same multi-electron atom first pointed out in one of our previous works. In principle, conclusions of the present work can be verified experimentally, since low-dimensional, that is, one- and two-dimensional atoms were obtained experimentally long time ago. In our opinion, the material presented in the Appendix is of independent methodical interest because of its possible inclusion in traditional courses of quantum mechanics.
    VL  - 6
    IS  - 5
    ER  - 

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Author Information
  • Department of Physics, Moscow Polytechnic University, Moscow, Russia

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