An Advanced Physics of Superfluidity and Superconductivity

Gilbert A. Ibitola; Olanrewaju Ajanaku; Lawrence O. Imafidon

doi:doi:10.11648/j.ajmp.20160506.13

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An Advanced Physics of Superfluidity and Superconductivity

Gilbert A. Ibitola, Olanrewaju Ajanaku, Lawrence O. Imafidon

Published in American Journal of Modern Physics (Volume 5, Issue 6)

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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[6]	Haldane, F., 2002, Helv. Phys. Acta. 75, 1153.
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[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).
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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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TY  - JOUR
T1  - An Advanced Physics of Superfluidity and Superconductivity
AU  - Gilbert A. Ibitola
AU  - Olanrewaju Ajanaku
AU  - Lawrence O. Imafidon
Y1  - 2016/12/05
PY  - 2016
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DO  - 10.11648/j.ajmp.20160506.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 177
EP  - 183
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20160506.13
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
ER  -

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Author Information

Gilbert A. Ibitola

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

Department of Physical Sciences, Ondo State University of Science & Technology, Okitipupa, Nigeria
Lawrence O. Imafidon

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

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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - An Advanced Physics of Superfluidity and Superconductivity
AU  - Gilbert A. Ibitola
AU  - Olanrewaju Ajanaku
AU  - Lawrence O. Imafidon
Y1  - 2016/12/05
PY  - 2016
N1  - https://doi.org/10.11648/j.ajmp.20160506.13
DO  - 10.11648/j.ajmp.20160506.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 177
EP  - 183
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20160506.13
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
ER  -

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