TITLE:
New Theory of Superconductivity. Method of Equilibrium Density Matrix. Magnetic Field in Superconductor
AUTHORS:
Boris V. Bondarev
KEYWORDS:
Density Matrix, Hamiltonian Model, Electron Distribution, Anisotropy, Electron Interaction, Superconductivity, Energy Gap, Magnetic Field in Superconductivity
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.12,
December
17,
2015
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 εk k’ 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 I
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.