American Journal of Physics and Applications

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Quantum Theory of Fields and Properties of Quantum Systems

Received: 27 April 2019    Accepted: 03 June 2019    Published: 04 July 2019
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Abstract

Quantum theory of fields is the most general theory to date. It has an extremely wide field of application: - the physics of elementary particles and their interactions (summarized by the Standard Model); - the physics of the universe close to the Big Bang (primordial fluctuations from which the formation of the structure of the universe originates, evaporation of black holes, Hawking radiation); - the formalism of condensed matter physics, with applications such as superconductivity, superfluidity, phase transitions. Indeed, the quantum theory of fields has been successfully implemented in quantum systems, notably in research on fundamental state energy, elementary excitations spectrum, degeneracy parameters: long range order, Bogoliubov approximation, density matrix diagonalization,…, as well as the characteristics of these systems: movement equation, dynamics of the system,…. Three different quantum systems were concerned in this theoretical study: - a gas of identical atoms of spin zero confined into the trap; - electron gas of spin ½ into the metal; - and a gathering of identical ions of spin zero at high density confined into a radiofrequency linear Paul trap. The microscopic theory was used in the each case and the results obtained by the researchers are presented.

DOI 10.11648/j.ajpa.20190704.11
Published in American Journal of Physics and Applications (Volume 7, Issue 4, July 2019)
Page(s) 93-100
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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

Quantum Theory of Fields, Quantum Systems, Microscopic Theory, Bosons, Fermions, Second Quantization, Density Matrix, Fundamental State Energy

References
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[4] Vittel C. (1967). Théorie Quantique du Solide. Dunod, Paris.
[5] Tshizanga (2011). Dégénérescence quantique d’un système de bosons chargés identiques de spin zéro dans un piège de Paul. Thèse de doctorat, Université Nationale Pédagogique de Kinshasa. Tel-00760356, Version1- 6 Déc. 2012.
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[8] Delamotte B. (2005). Introduction à la théorie quantique des champs. www.Iptmc.jussieu.fr.
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[12] Caradoc-Davies B. M. (2000). Vortex Dynamics in Bose-Einstein Condensates, These, University of Otago, 200 pages (2000).
[13] Tshizanga (2016), Hartree-Fock Equation for a Non-neutral Plasma of Spin Zero Ions in a Paul Trap; American Journal of Physics and Applications. Vol. 4, No. 3, 2016, pp. 71-77. doi: 10.11648/j.ajpa.20160403.11.
[14] Dalfovo F., Giorgini S., Pitaevskii L. P. and Stringari S. (1999), Theory of Bose-Einstein condensation in trapped gases. Reviews of Modern Physics, Vol. 71, No. 3, April, pp 463-512.
[15] Tshizanga F. M., Badibanga P. M. and Ntampaka B. B. (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.
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[18] Pei-Lin You, Bose-Einstein condensation in a vapor of sodium atoms in an electric field, Physica B: condensed matter physics 491(2016) 8492, http://dx.doi.org/10.1016/j.physb.2016.03.017.
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Author Information
  • Department of Mechanics, Superior Institute of Applied Techniques, Kinshasa, Democratic Republic of Congo

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    Fernand Tshizanga Mpinga. (2019). Quantum Theory of Fields and Properties of Quantum Systems. American Journal of Physics and Applications, 7(4), 93-100. https://doi.org/10.11648/j.ajpa.20190704.11

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    Fernand Tshizanga Mpinga. Quantum Theory of Fields and Properties of Quantum Systems. Am. J. Phys. Appl. 2019, 7(4), 93-100. doi: 10.11648/j.ajpa.20190704.11

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    Fernand Tshizanga Mpinga. Quantum Theory of Fields and Properties of Quantum Systems. Am J Phys Appl. 2019;7(4):93-100. doi: 10.11648/j.ajpa.20190704.11

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  • @article{10.11648/j.ajpa.20190704.11,
      author = {Fernand Tshizanga Mpinga},
      title = {Quantum Theory of Fields and Properties of Quantum Systems},
      journal = {American Journal of Physics and Applications},
      volume = {7},
      number = {4},
      pages = {93-100},
      doi = {10.11648/j.ajpa.20190704.11},
      url = {https://doi.org/10.11648/j.ajpa.20190704.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajpa.20190704.11},
      abstract = {Quantum theory of fields is the most general theory to date. It has an extremely wide field of application: - the physics of elementary particles and their interactions (summarized by the Standard Model); - the physics of the universe close to the Big Bang (primordial fluctuations from which the formation of the structure of the universe originates, evaporation of black holes, Hawking radiation); - the formalism   of condensed matter physics, with applications such as superconductivity, superfluidity, phase transitions. Indeed, the quantum theory of fields has been successfully implemented in quantum systems, notably in research on fundamental state energy, elementary excitations spectrum, degeneracy parameters: long range order, Bogoliubov approximation, density matrix diagonalization,…, as well as the characteristics of these systems: movement equation, dynamics of the system,…. Three different quantum systems were concerned in this theoretical study: - a gas of identical atoms of spin zero confined into the trap; - electron gas of spin ½ into the metal; - and a gathering of identical ions of spin zero at high density confined into a radiofrequency linear Paul trap. The microscopic theory was used in the each case and the results obtained by the researchers are presented.},
     year = {2019}
    }
    

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    JO  - American Journal of Physics and Applications
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    AB  - Quantum theory of fields is the most general theory to date. It has an extremely wide field of application: - the physics of elementary particles and their interactions (summarized by the Standard Model); - the physics of the universe close to the Big Bang (primordial fluctuations from which the formation of the structure of the universe originates, evaporation of black holes, Hawking radiation); - the formalism   of condensed matter physics, with applications such as superconductivity, superfluidity, phase transitions. Indeed, the quantum theory of fields has been successfully implemented in quantum systems, notably in research on fundamental state energy, elementary excitations spectrum, degeneracy parameters: long range order, Bogoliubov approximation, density matrix diagonalization,…, as well as the characteristics of these systems: movement equation, dynamics of the system,…. Three different quantum systems were concerned in this theoretical study: - a gas of identical atoms of spin zero confined into the trap; - electron gas of spin ½ into the metal; - and a gathering of identical ions of spin zero at high density confined into a radiofrequency linear Paul trap. The microscopic theory was used in the each case and the results obtained by the researchers are presented.
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