Francisco Bulnes

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Research Department in Mathematics and Engineering, TESCHA, Chalco, Mexico.
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Abstract: It’s created a canonical Lie algebra in electrodynamics with all the “nice” algebraic and geometrical properties of an universal enveloping algebra with the goal of can to obtain generalizations in quantum electrodynamics theory of the TQFT, and the Universe based in lines and twistor bundles to the obtaining of irreducible unitary representations of the Lie groups SO(4) andO(3,1), based in admissible representations of U(1), and SU(n)  . The obtained object haves the advantages to be an algebraic or geometrical space at the same time. This same space of ￡-modules can explain and model different electromagnetic phenomena in superconductor and quantum processes where is necessary an organized transformation of the electromagnetic nature of the space- time and obtain nanotechnologies of the space-time and their elements.

Keywords: Electromagnetic Representation, Electro-Physics Theory, Lie Algebra, £-Modules

Cite this paper: Bulnes, F. (2015) QED-Lie Algebra and Their £ -Modules in Superconductivity. Journal of Applied Mathematics and Physics, 3, 417-427. doi: 10.4236/jamp.2015.34053.

References

[1]   Segal, I.E. (1976) Mathematical Cosmology and Extragalactic Astronomy. Pure and Applied Mathematics, 68, Academic Press, New York.

[2]   Bulnes, F. (2006) Doctoral Course of Mathematical Electrodynamics. SEPI-IPN, Mexico, 9, 398-447.

[3]   Dummit, D.S. and Foote, R.M. (2004) Abstract Algebra. Wiley, Hoboken.

[4]   Marsden, J.E. and Abraham, R. (1982) Manifolds, Tensor Analysis and Applications. Addison Wesley, Massachusetts.

[5]   Wilczek, F (2009) Majorana Returns. Nature Physics, 5, 614.

[6]   Bulnes, F. (2014) A Lie-QED-Algebra and Their Fermionic Fock Space in the Superconducting Phenomena. Quantum Mechanics, Rijeka.

[7]   Bulnes, F., Hernandez, E. and Maya, J. (2010) Design and Development of an Impeller Synergic System of Electromagnetic Type for Levitation, Suspension and Movement of Symmetrical Bodies, IMECE/ASME, British Columbia, Canada.

[8]   Nielsen, H.B. and Olesen, P. (1973) Vortex-Line Models for Dual Strings. Nuclear Physics B, 61, 45-61.

[9]   Alario, M.A. and Vicent, J.L. (1991) Superconductivity. Eudema Fortuny, Madrid, Spain.

[10]   Ginzburg, V.L. and Landau, L.D. (1950) Zh. Eksp. Teor. Fiz. 20, 1064.

[11]   Bulnes, F., Martínez, I. and Maya, J. (2012) Design and Development of Impeller Synergic Systems of Electromagnetic Type to Levitation/Suspension Flight of Symmetrical Bodies. Journal of Electromagnetic Analysis and Applications, 4, 42-52.

[12]   Bulnes, F. (2013) Orbital Integrals on Reductive Lie Groups and Their Algebras. Intech, Rijeka. http://www.intechopen.com/books/orbital-integrals-on-reductive-lie-groups-and-their-algebras/orbital-integrals-on-reductive-lie-groups-and-their-algebrasB

[13]   Strutinsky, V.M. (1967) Shell Effects in Nuclear Physics and Deformation Energies. Nuclear Physics A, 95, 420-442.

[14]   Hossenfelder, S. (2006) Anti-Gravitation. Elsevier Science.

[15]   Dixmier, J. (1969) Les C*-algèbres et leurs representations. Gauthier-Villars, France.

[16]   Cooper, L. (1956) Bound Electron Pairs in a Degenerate Fermi Gas. Physical Review, 104, 1189-1190.

[17]   Verkelov, I., Goborov, R. and Bulnes, F. (2013) Fermionic Fock Space in Superconducting Phenomena and Their Applications. Journal on Photonics and Spintronics, 2, 19-29.

[18]   Bardeen, J., Cooper, L.N. and Schrieffer, J.R. (1957) Microscopic Theory of Superconductivity. Physical Review, 106, 162-164.

[19]   Bulnes, F. (2013) Mathematical Nanotechnology: Quantum Field Intentionality. Journal of Applied Mathematics and Physics, 1, 25-44.

[20]   Llano, M. (2003) Unificación de la Condensación de Bose-Einstein con la Teoría BSC de Superconductores. Rev. Ciencias Exactas y Naturais, 5, 9-21.

[21]   Bulnes, F. (2013) Quantum Intentionality and Determination of Realities in the Space-Time through Path Integrals and Their Integral Transforms, Advances in Quantum Mechanics, Prof. Paul Bracken (Ed.), InTech. http://www.intechopen.com/books/advances-in-quantum-mechanics/quantum-intentionality-and-determination-of-realities-in-the-space-time-through-path-integrals-and-t

[22]   Landau, L.D. and Lifshitz, E.M. (1960) Electrodynamics of Continuous Media. Volume 8 of Course of Theorical Physics, Pergamon Press, London.

[23]   Bulnes, F. (1998) The Super Canonical Algebra . International Conferences of Electrodynamics in Veracruz, IM/UNAM, Mex-ico.