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Quantum corrected electron holes

A. Luque·H. Schamel·R. Fedele
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Abstract

The theory of electron holes is extended into the quantum regime. The Wigner--Poisson system is solved perturbatively based in lowest order on a weak, standing electron hole. Quantum corrections are shown to lower the potential amplitude and to increase the number of deeply trapped electrons. They, hence, tend to bring this extreme non--equilibrium state closer to thermodynamic equilibrium, an effect which can be attributed to the tunneling of particles in this mixed state system.

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A. Luque, H. Schamel, R. Fedele. 2003-11-25. Quantum corrected electron holes. https://doi.org/10.1016/j.physleta.2004.02.049

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