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Article citations

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Ehrenfest, P. and Oppenheimer, J.R. (1931) Physical Review, 37, 333.
http://dx.doi.org/10.1103/PhysRev.37.333
Bethe, H.A. and Jackiw, R.W. (1989) Intermediate Quantum Mechanics. 2nd Edition, Benjamin, New York, 23.
Fujita, S. and Morabito, D.L. (1998) Modern Physics Letters B, 12, 1061.

has been cited by the following article:

  • TITLE: Quantum Statistical Theory of Superconductivity in MgB2

    AUTHORS: S. Fujita, A. Suzuki, Y. Takato

    KEYWORDS: Crystal Structure, BCS Hamiltonian, Electron-Phonon Interaction, Cooper Pairs, Bose-Einstein Condensation, Superconductivity

    JOURNAL NAME: Journal of Modern Physics, Vol.7 No.12, August 31, 2016

    ABSTRACT: A quantum statistical theory of the superconductivity in MgB2 is developed regarding it as a member of the graphite intercalation compound. The superconducting temperature Tc for MgB2, C8K ≡ KC8, CaC6, are 39 K, 0.6 K, 11.5 K, respectively. The differences arise from the lattice structures. In the plane perpendicular to the c-axis, B’s form a honeycomb lattice with the nearest neighbour distance while Mg’s form a base-hexagonal lattice with the nearest neighbour distance above and below the B-plane distanced by . The more compact B-plane becomes superconducting due to the electron-phonon attraction. Starting with the generalized Bardeen- Cooper-Schrieffer (BCS) Hamiltonian and solving the generalized Cooper equation, we obtain a linear dispersion relation for moving Cooper pairs. The superconducting temperature Tc identified as the Bose-Einstein condensation temperature of the Cooper pairs in two dimensions is given by , where is the Cooper pair density, the Boltzmann constant. The lattices of KC8 and CaC6 are clearly specified.