Thermo-quantum diffusion in periodic potentials

Details Thermo-quantum diffusion in periodic potentials Thermo-quantum diffusion in periodic potentials

2009-12-08

arxiv.org/abs/0912.1488v6

Ann. Univ. Sofia, Fac. Chem. 102/103 (2011) 247-251

Physics

Quantum Physics

Scientific paper

Quantum Brownian motion in a periodic cosine potential is studied and a simple estimate of the tunneling effect is obtained in the frames of a quasi-equilibrium semiclassical approach. It is shown that the latter is applicable for heavy particles but electrons cannot be described properly since the quantum effects dominate over the thermal ones. The purely quantum electron diffusion is investigated at zero temperature and demonstrates that electrons do not obey the classical Einstein law of Brownian motion in the field of periodic potentials, since the dispersion of the wave packet increases logarithmically in time.

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