American Journal of Modern Physics

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Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity

Received: 02 January 2014    Accepted:     Published: 20 March 2014
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Abstract

The ground state properties of the two-electron atom with atomic number in the spherical vacuum cavity with general boundary conditions of “not going out” are studied. It is shown that for certain parameters of the cavity such atom could either decay into the one-electron atom with the same atomic number and an electron or be in stable state with the binding and ionization energies several times bigger than the same energies of the free atom. By analogy with the Wigner-Seitz model of metallic bonding, the possibility of the existence of such effects on the lattice formed by the vacuum cavities filled with the two-electron atoms of the same type is discussed.

DOI 10.11648/j.ajmp.20140302.16
Published in American Journal of Modern Physics (Volume 3, Issue 2, March 2014)
Page(s) 73-81
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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

Two-Electron Atom, Third Type Boundary Condition, Neumann Boundary Condition, Confinement

References
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Author Information
  • Department of Quantum Theory and High Energy Physics, M.V.Lomonosov Moscow State University, Moscow, Russia

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    Andrey Tolokonnikov. (2014). Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity. American Journal of Modern Physics, 3(2), 73-81. https://doi.org/10.11648/j.ajmp.20140302.16

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    ACS Style

    Andrey Tolokonnikov. Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity. Am. J. Mod. Phys. 2014, 3(2), 73-81. doi: 10.11648/j.ajmp.20140302.16

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    AMA Style

    Andrey Tolokonnikov. Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity. Am J Mod Phys. 2014;3(2):73-81. doi: 10.11648/j.ajmp.20140302.16

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  • @article{10.11648/j.ajmp.20140302.16,
      author = {Andrey Tolokonnikov},
      title = {Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity},
      journal = {American Journal of Modern Physics},
      volume = {3},
      number = {2},
      pages = {73-81},
      doi = {10.11648/j.ajmp.20140302.16},
      url = {https://doi.org/10.11648/j.ajmp.20140302.16},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20140302.16},
      abstract = {The ground state properties of the two-electron atom with atomic number   in the spherical vacuum cavity with general boundary conditions of “not going out” are studied. It is shown that for certain parameters of the cavity such atom could either decay into the one-electron atom with the same atomic number and an electron or be in stable state with the binding and ionization energies several times bigger than the same energies of the free atom. By analogy with the Wigner-Seitz model of metallic bonding, the possibility of the existence of such effects on the lattice formed by the vacuum cavities filled with the two-electron atoms of the same type is discussed.},
     year = {2014}
    }
    

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    T1  - Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity
    AU  - Andrey Tolokonnikov
    Y1  - 2014/03/20
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    AB  - The ground state properties of the two-electron atom with atomic number   in the spherical vacuum cavity with general boundary conditions of “not going out” are studied. It is shown that for certain parameters of the cavity such atom could either decay into the one-electron atom with the same atomic number and an electron or be in stable state with the binding and ionization energies several times bigger than the same energies of the free atom. By analogy with the Wigner-Seitz model of metallic bonding, the possibility of the existence of such effects on the lattice formed by the vacuum cavities filled with the two-electron atoms of the same type is discussed.
    VL  - 3
    IS  - 2
    ER  - 

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