Electron random walk in ideal phonon gas. Exact dressed electron density matrix evolution equations

Details Electron random walk in ideal phonon gas. Exact dressed electron density matrix evolution equations Electron random walk in ideal phonon gas. Exact dressed electron density matrix evolution equations

2011-07-16

arxiv.org/abs/1107.3240v1

Physics

Condensed Matter

Statistical Mechanics

19 pages, no figures, LATEX2e iopart

Scientific paper

An original approach is suggested to analysis of full quantum Liouville equation for single electron (quantum particle) interacting with ideal phonon gas (harmonic boson thermostat). It is shown that under the thermodynamic limit this equation can be exactly reduced to a system of evolution equations connecting density matrix of the electron and its simplest irreducible correlations with amplitudes of one, two, three and more phonon modes. Possible application of these new equations to explanation of the electron mobility 1/f-type fluctuations in semiconductors and other media is discussed. The special case of electron in static disorder is also considered.

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