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math-ph2014★ 3 cited
Semiclassical hydrodynamics of a quantum Kane model for semiconductors
Luigi Barletti, Giovanni Borgioli, Giovanni Frosali
In this paper we derive a semiclassical hydrodynamic system for electron densities and currents in the two energy bands of a semiconductor. We use the semiclassical Wigner equation…
math-ph2006★ 3 cited
Rigorous drift-diffusion asymptotics of a high-field quantum transport equation
Chiara Manzini, Giovanni Frosali
The asymptotic analysis of a linear high-field Wigner-BGK equation is developped by a modified Chapman-Enskog procedure. By an expansion of the unknown Wigner function in powers of…