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.
Published in | American Journal of Physics and Applications (Volume 6, Issue 5) |
DOI | 10.11648/j.ajpa.20180605.12 |
Page(s) | 115-127 |
Creative Commons |
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), 2018. Published by Science Publishing Group |
One - Two- Dimensional Hydrogen Molecules, Binding Energy, Interaction Energy, Minimum
[1] | A. Gorlitz et al., Phys. Rev. Lett., 87, 130402 (2001). |
[2] | U. Eichmann, V. Lange, and W. Sandner, Phys. Rev. Lett., 64, 274 (1990). |
[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). |
[8] | E. A. Hylleraas, Z. Phys., 63, 291 (1930). |
[9] | E. A. Hylleraas, Z. Phys., 63, 771 (1930). |
[10] | R. London, Amer. J. Phys., 27, 649 (1959). |
[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). |
[14] | B. Zaslow and C. E. Zandler, Amer. J. Phys., 35, 1118 (1967). |
[15] | A. Cisneros and N. V. McIntosh, J. Math. Phys., 10, 277 (1968). |
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
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
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
@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://article.sciencepublishinggroup.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} }
TY - JOUR T1 - To the Theory of Low-Dimensional Hydrogen Molecules 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 -