Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap

Fernand Tshizanga Mpinga

doi:doi:10.11648/j.ajpa.20160403.11

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Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap

Fernand Tshizanga Mpinga

Published in American Journal of Physics and Applications (Volume 4, Issue 3)

Received: 11 April 2016 Accepted: 25 April 2016 Published: 11 May 2016

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Abstract

The imperceptible identical particle systems such as electron gas in metals have been the concern of experimental and theoretical studies mostly aiming to understand the properties of these systems. Hartree-Fock equation of electron gas, a fermion quantum plasma, has been established by the method of “equation of motion”, and by using Dirac field. The goal of this paper is to establish regarding the same method, the Hartree-Fock equation for a non-neutral plasma of identical ions of spin zero at high density and low temperature in a Paul trap, by using the complex scalar field.

Published in	American Journal of Physics and Applications (Volume 4, Issue 3)
DOI	10.11648/j.ajpa.20160403.11
Page(s)	71-77
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), 2016. Published by Science Publishing Group

Keywords

Identical Ions, Spin Zero, Paul Trap, Non-neutral Plasma, Microscopic Theory, Field Operator, Fock Space, Hamiltonian Operator

References

[1]	S. Removille., Vers une mémoire quantique dans des ions piégés. Thèse de doctorat, Université Paris. Diderot (Paris 7) 2009.
[2]	C. Kittel. Théorie Quantique du Solide. (Dunod, Paris, 1967).
[3]	P. Nozières and D. Pines. The theory of quantum liquids. 3th edition (Perseus books, Cambridge, 1999).
[4]	D. Comparat (2008). Expériences avec des atomes de Rydberg et des molécules ultrafroids. Mémoire d’Habilitation à Diriger des Recherches.
[5]	B.M. Caradoc-Davies. Vortex Dynamics in Bose-Einstein Condensates, These, University of Otago, 200 pages (2000).
[6]	F. M Tshizanga, P. M. Badibanga and B. B. Ntampaka (2014), An investigation into the Parameters of Quantum Degeneration of an Ultra Cold Non-Neutre Plasma of identical Ions of Zero Spin in a Paul Trap. International Journal of Measurement Technologies and Instrumentation Engineering, 4(1), 51-70. January-March 2014
[7]	F. Mandl, Introduction to Quantum Field Theory. 2th edition (Interscience Publishers INC., New York. 1964)
[8]	S. Froit (2006), Introduction à la théorie des champs phénoménologique, INRIA.
[9]	Govaerts, J. (1995)., L’interaction électrofaible: une fenêtre sur la physique au-delà du Modèle Standard, Paru dans les Actes de l’Ecole Internationale Joliot-Curie de Physique Nucléaire”, Maubuisson (France) (pp. 333-416).
[10]	S. Weinberg. The quantum theory of fields. Volume 1 5th edition (Cambridge university press, volume I and II. New York, 2000)
[11]	K. Ingersent, (2003), Second Quantization: Creation and Annihilation Operators, PHY 6646.
[12]	A. S. Davydov. Quantum mechanics. (Pergamon Press, New York, 1965)
[13]	J-P. Derendinger. Théorie quantique des champs. (Presses polytechniques et universitaires romandes, 2001)
[14]	F. Dalfovo, S. Giorgini, L. P. Pitaevskii and S. Stringari (1999), Theory of Bose-Einstein condensation in trapped gases. Reviews of Modern Physics, Vol. 71, No. 3, April, pp 463-512
[15]	J. S. Bell, Théorie Quantique des Champs Expérimentale. (CERN 77-18, Paris, 1977).

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Fernand Tshizanga Mpinga. (2016). Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. American Journal of Physics and Applications, 4(3), 71-77. https://doi.org/10.11648/j.ajpa.20160403.11

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ACS Style

Fernand Tshizanga Mpinga. Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. Am. J. Phys. Appl. 2016, 4(3), 71-77. doi: 10.11648/j.ajpa.20160403.11

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AMA Style

Fernand Tshizanga Mpinga. Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. Am J Phys Appl. 2016;4(3):71-77. doi: 10.11648/j.ajpa.20160403.11

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@article{10.11648/j.ajpa.20160403.11,
  author = {Fernand Tshizanga Mpinga},
  title = {Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap},
  journal = {American Journal of Physics and Applications},
  volume = {4},
  number = {3},
  pages = {71-77},
  doi = {10.11648/j.ajpa.20160403.11},
  url = {https://doi.org/10.11648/j.ajpa.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20160403.11},
  abstract = {The imperceptible identical particle systems such as electron gas in metals have been the concern of experimental and theoretical studies mostly aiming to understand the properties of these systems. Hartree-Fock equation of electron gas, a fermion quantum plasma, has been established by the method of “equation of motion”, and by using Dirac field. The goal of this paper is to establish regarding the same method, the Hartree-Fock equation for a non-neutral plasma of identical ions of spin zero at high density and low temperature in a Paul trap, by using the complex scalar field.},
 year = {2016}
}

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TY  - JOUR
T1  - Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap
AU  - Fernand Tshizanga Mpinga
Y1  - 2016/05/11
PY  - 2016
N1  - https://doi.org/10.11648/j.ajpa.20160403.11
DO  - 10.11648/j.ajpa.20160403.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 71
EP  - 77
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20160403.11
AB  - The imperceptible identical particle systems such as electron gas in metals have been the concern of experimental and theoretical studies mostly aiming to understand the properties of these systems. Hartree-Fock equation of electron gas, a fermion quantum plasma, has been established by the method of “equation of motion”, and by using Dirac field. The goal of this paper is to establish regarding the same method, the Hartree-Fock equation for a non-neutral plasma of identical ions of spin zero at high density and low temperature in a Paul trap, by using the complex scalar field.
VL  - 4
IS  - 3
ER  -

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Author Information

Fernand Tshizanga Mpinga

Department of Mechanics, Superior Institute of Applied Techniques, Kinshasa, Democratic Republic of Congo

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APA Style

Fernand Tshizanga Mpinga. (2016). Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. American Journal of Physics and Applications, 4(3), 71-77. https://doi.org/10.11648/j.ajpa.20160403.11

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ACS Style

Fernand Tshizanga Mpinga. Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. Am. J. Phys. Appl. 2016, 4(3), 71-77. doi: 10.11648/j.ajpa.20160403.11

Copy | Download

AMA Style

Fernand Tshizanga Mpinga. Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap. Am J Phys Appl. 2016;4(3):71-77. doi: 10.11648/j.ajpa.20160403.11

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@article{10.11648/j.ajpa.20160403.11,
  author = {Fernand Tshizanga Mpinga},
  title = {Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap},
  journal = {American Journal of Physics and Applications},
  volume = {4},
  number = {3},
  pages = {71-77},
  doi = {10.11648/j.ajpa.20160403.11},
  url = {https://doi.org/10.11648/j.ajpa.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20160403.11},
  abstract = {The imperceptible identical particle systems such as electron gas in metals have been the concern of experimental and theoretical studies mostly aiming to understand the properties of these systems. Hartree-Fock equation of electron gas, a fermion quantum plasma, has been established by the method of “equation of motion”, and by using Dirac field. The goal of this paper is to establish regarding the same method, the Hartree-Fock equation for a non-neutral plasma of identical ions of spin zero at high density and low temperature in a Paul trap, by using the complex scalar field.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap
AU  - Fernand Tshizanga Mpinga
Y1  - 2016/05/11
PY  - 2016
N1  - https://doi.org/10.11648/j.ajpa.20160403.11
DO  - 10.11648/j.ajpa.20160403.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 71
EP  - 77
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20160403.11
AB  - The imperceptible identical particle systems such as electron gas in metals have been the concern of experimental and theoretical studies mostly aiming to understand the properties of these systems. Hartree-Fock equation of electron gas, a fermion quantum plasma, has been established by the method of “equation of motion”, and by using Dirac field. The goal of this paper is to establish regarding the same method, the Hartree-Fock equation for a non-neutral plasma of identical ions of spin zero at high density and low temperature in a Paul trap, by using the complex scalar field.
VL  - 4
IS  - 3
ER  -

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