Abstract
Quantum analogs of Hamilton-Jacobi and Boltzmann kinetic equations are formulated for arbitrary classical electromagnetic fields in the gaugeinvariant form. Equations are applied to the problem of the electric current flow in a quasi-two-dimensional electron system. Strong deviations from the quasiclassical description are possible. A positive magnetoresistivity in a magnetic field parallel to the current is predicted.
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Fleurov, V. Quantum kinetics in classical electromagnetic fields by means of Wigner quasi-distribution function. Acta Phys. Hung. B 20, 133–137 (2004). https://doi.org/10.1556/APH.20.2004.1-2.27
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DOI: https://doi.org/10.1556/APH.20.2004.1-2.27
Keywords
- Wigner quasi-distribution function
- quantum kinetic equation
- star-product
- deformation quantization
- low dimensional systems