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Electron Dynamics and Anderson Localization in Wigner Formulation of Quantum Statistical Mechanics
Author(s) -
Filinov V. S.,
Lozovik Yu. E.,
Filinov A. V.,
Zacharov I. E.
Publication year - 1999
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150390116
Subject(s) - wigner distribution function , physics , propagator , quantum dynamics , quantum mechanics , quantum statistical mechanics , momentum (technical analysis) , correlation function (quantum field theory) , method of quantum characteristics , electron , quantum state , kubo formula , quantum , wave function , statistical physics , quantum process , conductivity , finance , dielectric , economics
The new numerical approach for consideration of quantum dynamics and calculations of the average values of quantum operators and time correlation functions in the Wigner representation of quantum statistical mechanics has been developed. The time correlation functions have been presented in the form of the integral of the Weyl's symbol of considered operators and the Fourier transform of the product of matrix elements of the dynamic propagators. For electrons in disordered systems of scatterers the numerical results have been obtained for series of the average values of the quantum operators including position and momentum dispersions, average energy, energy distribution function as well as for the frequency dependencies of tensor of electron conductivity and permittivity according to quantum Kubo formula. Zero or very small value of static conductivity have been considered as the manifestation of Anderson localization of electrons in 1D case.