Volume 6, Issue 5, September 2018, Page: 115-127
To the Theory of Low-Dimensional Hydrogen Molecules
Vladimir V. Skobelev, Department of Physics, Moscow Polytechnic University, Moscow, Russia
Received: Sep. 6, 2018;       Accepted: Oct. 5, 2018;       Published: Nov. 9, 2018
DOI: 10.11648/j.ajpa.20180605.12      View  591      Downloads  74
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.
One - Two- Dimensional Hydrogen Molecules, Binding Energy, Interaction Energy, Minimum
To cite this article
Vladimir V. Skobelev, To the Theory of Low-Dimensional Hydrogen Molecules, American Journal of Physics and Applications. Vol. 6, No. 5, 2018, pp. 115-127. doi: 10.11648/j.ajpa.20180605.12
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A. Gorlitz et al., Phys. Rev. Lett., 87, 130402 (2001).
U. Eichmann, V. Lange, and W. Sandner, Phys. Rev. Lett., 64, 274 (1990).
V. V. Skobelev, JETP, 125, No. 6, 1058 (2017).
V. V. Skobelev, JETP, 126, No. 2, 183 (2018).
V. V. Skobelev, JETP, 126, No. 5, 645 (2018).
A. A. Sokolov, Yu. M. Loskutov, and I. M. Ternov, Quantum Mechanics, Holt, Rinehart & Winston, Austin, Texas (1966).
L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 3, Quantum Mechanics: Non-Relativistic Theory, Third Edition, Pergamon Press, Oxford (1977).
E. A. Hylleraas, Z. Phys., 63, 291 (1930).
E. A. Hylleraas, Z. Phys., 63, 771 (1930).
R. London, Amer. J. Phys., 27, 649 (1959).
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Eighth Edition, Academic Press, Elsevier, Oxford (2014).
V. V. Skobelev, JETP, 126, No. 3, 333 (2018).
V. V. Skobelev, Russ. Phys. J., 58, No. 2, 163 (2015).
B. Zaslow and C. E. Zandler, Amer. J. Phys., 35, 1118 (1967).
A. Cisneros and N. V. McIntosh, J. Math. Phys., 10, 277 (1968).
Browse journals by subject