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

Andrey Tolokonnikov

doi:doi:10.11648/j.ajmp.20140302.16

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

Andrey Tolokonnikov

Published in American Journal of Modern Physics (Volume 3, Issue 2)

Received: 2 January 2014 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.

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

Keywords

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

References

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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity
AU  - Andrey Tolokonnikov
Y1  - 2014/03/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140302.16
DO  - 10.11648/j.ajmp.20140302.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 73
EP  - 81
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140302.16
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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Author Information

Andrey Tolokonnikov

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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Boundary Conditions Effects on the Ground State of a Two-Electron Atom in a Vacuum Cavity
AU  - Andrey Tolokonnikov
Y1  - 2014/03/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140302.16
DO  - 10.11648/j.ajmp.20140302.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 73
EP  - 81
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140302.16
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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