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Bondarev, B.V. (2016) Method of Eguilibrium Density Matrix, Anisotropy and Superconductivity, Energy Gap. In: Parinov, I.A., Ed., Advanced Materials: Manufacturing, Physics, Mechanics and Applications, Springer, New York and London, 157-178.
http://dx.doi.org/10.1007/978-3-319-26324-3_12
has been cited by the following article:
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TITLE:
New Theory of Superconductivity. Magnetic Field in Superconductor. Effect of Meissner and Ochsenfeld
AUTHORS:
Boris V. Bondarev
KEYWORDS:
Electron Distribution, Anisotropy, Superconductivity, Magnetic Field on Superconductor
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.2,
February
29,
2016
ABSTRACT: A new variational method has been proposed for studying the equilibrium
states of the interacting particle system to have been statistically described
by using the density matrix. This method is used for describing conductivity
electrons and their behavior in metals. The electron energy has been expressed
by means of the density matrix. The interaction energy of two εkk′ electrons dependent on their wave vectors k and k’ has been found.
Energy εkk′ has
two summands. The first energy I summand depends on the wave vectors to be equal in magnitude and opposite in
direction. This summand describes the repulsion between electrons. Another
energy J summand describes the
attraction between the electrons of equal wave vectors. Thus, the equation of
wavevector electron distribution function has been obtained by using the variational
method. Particular solutions of the equations have been found. It has been
demonstrated that the electron distribution function exhibits some previously
unknown features at low temperatures. Repulsion of the wave vectors k and –k electrons results in anisotropy of the distribution function.
This matter points to the electron superconductivity. Those electrons to have
equal wave vectors are attracted thus producing pairs and creating an energy
gap. It is considered the influence of magnetic field on the superconductor.
This explains the phenomenon of Meissner and Ochsenfeld. We consider a new possibility of penetration of the external magnetic field into the superconductor.