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An Advanced Physics of Superfluidity and Superconductivity

Received: 24 October 2016     Accepted: 7 November 2016     Published: 5 December 2016
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Abstract

This paper presents an advanced Physics of superfluidity and superconductivity. We know from Quantum Mechanics that there are two types of particles, bosons and fermions. Single states can be occupied by any number of bosons while for fermions a single state can be occupied at most by one fermion. The charged boson system is found to exhibit superfluidity: the gauge-invariant Lagrangian, coupling between the bosons and the electromagnetic gauge field. It is observed that current conservation puts constraints on current correlation. Current correlation functions and electromagnetic responses are then determined for superfluids and metals. The response function in a metallic conductor is used in obtaining its several parameters which include conductivity, dielectric constant, polarization, magnetic moment density and magnetic susceptibility. The London equation is then deduced for superconductors.

Published in American Journal of Modern Physics (Volume 5, Issue 6)
DOI 10.11648/j.ajmp.20160506.13
Page(s) 177-183
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

Gauge-Invariant Lagrangian, Current Correlation, Electromagnetic Responses, London Equation, Superfluid, Metal, Superconductor, Free Electron Theory, Meissner Effect

References
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[3] Chang, A. M., L. N. Pfeiffer and K. W. West, 2006, Phys. Rev. Lett. 77, 2538.
[4] Frohlich, J. and U. M. Studer, 2003, Rev. Of Mod. Phys. 73, 1033.
[5] Gliozzi, F., T. Regge and M. A. Virasoro, 1999, Physics Letters B 101, 876.
[6] Haldane, F., 2002, Helv. Phys. Acta. 75, 1153.
[7] Iso, S., D. Karabali and B. Sakita, 2002, Phys. Lett. B 306, 1267.
[8] Jain, J. K. and S. A. Kivelson, 1998, Phys. Rev. Lett. 71, 1565.
[9] Landau, L. D. and E. M. Lifschitz, 1985, Statistical Physics –Vol. 5 (Pergamon, London).
[10] Ma, S. K., 1986, “Modern Theory Of critical Phenomena” (Benjamin/Cummings, Reading, MA).
[11] Sachdev, S. and K. Park, 2007, Annals Of Physics (N.Y.) 298, 58.
[12] Casalbuoni, R. 2011, Introduction to Quantum Field Theory, World Scientific Publishing, Singapore.
[13] Nazarov Y. V. and J. Danon, 2013 Advanced Quantum Mechanics, Cambridge Univ. Press.
[14] Tilley D. R. and John Tilley, 1986 Superfluidity and Superconductivity, Adam Hilger LTD, Bristol and London.
[15] Annett J., 2004, Superconductivity, Superfluids, and Condensates (Oxford Univ. Press, New York).
[16] Alford, M. G., S. K. Mallavarapu, A. Schmitt, S. Stetina, 2013, Phys. Rev. D87, 065001.
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Cite This Article
  • APA Style

    Gilbert A. Ibitola, Olanrewaju Ajanaku, Lawrence O. Imafidon. (2016). An Advanced Physics of Superfluidity and Superconductivity. American Journal of Modern Physics, 5(6), 177-183. https://doi.org/10.11648/j.ajmp.20160506.13

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    ACS Style

    Gilbert A. Ibitola; Olanrewaju Ajanaku; Lawrence O. Imafidon. An Advanced Physics of Superfluidity and Superconductivity. Am. J. Mod. Phys. 2016, 5(6), 177-183. doi: 10.11648/j.ajmp.20160506.13

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    AMA Style

    Gilbert A. Ibitola, Olanrewaju Ajanaku, Lawrence O. Imafidon. An Advanced Physics of Superfluidity and Superconductivity. Am J Mod Phys. 2016;5(6):177-183. doi: 10.11648/j.ajmp.20160506.13

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  • @article{10.11648/j.ajmp.20160506.13,
      author = {Gilbert A. Ibitola and Olanrewaju Ajanaku and Lawrence O. Imafidon},
      title = {An Advanced Physics of Superfluidity and Superconductivity},
      journal = {American Journal of Modern Physics},
      volume = {5},
      number = {6},
      pages = {177-183},
      doi = {10.11648/j.ajmp.20160506.13},
      url = {https://doi.org/10.11648/j.ajmp.20160506.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20160506.13},
      abstract = {This paper presents an advanced Physics of superfluidity and superconductivity. We know from Quantum Mechanics that there are two types of particles, bosons and fermions. Single states can be occupied by any number of bosons while for fermions a single state can be occupied at most by one fermion. The charged boson system is found to exhibit superfluidity: the gauge-invariant Lagrangian, coupling between the bosons and the electromagnetic gauge field. It is observed that current conservation puts constraints on current correlation. Current correlation functions and electromagnetic responses are then determined for superfluids and metals. The response function in a metallic conductor is used in obtaining its several parameters which include conductivity, dielectric constant, polarization, magnetic moment density and magnetic susceptibility. The London equation is then deduced for superconductors.},
     year = {2016}
    }
    

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    AU  - Olanrewaju Ajanaku
    AU  - Lawrence O. Imafidon
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    AB  - This paper presents an advanced Physics of superfluidity and superconductivity. We know from Quantum Mechanics that there are two types of particles, bosons and fermions. Single states can be occupied by any number of bosons while for fermions a single state can be occupied at most by one fermion. The charged boson system is found to exhibit superfluidity: the gauge-invariant Lagrangian, coupling between the bosons and the electromagnetic gauge field. It is observed that current conservation puts constraints on current correlation. Current correlation functions and electromagnetic responses are then determined for superfluids and metals. The response function in a metallic conductor is used in obtaining its several parameters which include conductivity, dielectric constant, polarization, magnetic moment density and magnetic susceptibility. The London equation is then deduced for superconductors.
    VL  - 5
    IS  - 6
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Author Information
  • Department of Physical Sciences, Ondo State University of Science & Technology, Okitipupa, Nigeria

  • Department of Physical Sciences, Ondo State University of Science & Technology, Okitipupa, Nigeria

  • Department of Physical Sciences, Yaba College of Technology, Yaba, Lagos, Nigeria

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