Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization
Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization
New quantum hydrodynamic equations are derived from a Wigner–Boltzmann model, using the quantum entropy minimization method recently developed by Degond and Ringhofer. The model consists of conservation equations for the carrier, momentum, and energy densities. The derivation is based on a careful expansion of the quantum Maxwellian in powers of …