Quantum hydrodynamic equations with quantum corrected potential [RTD simulation]

In this article, we derive moment expansion of the Boltzman transport equation (BTE) using a distribution function which includes quantum effects. The resulting quantum hydrodynamic (QHD) equations are similar to the classical hydrodynamic (HD) equations, but some terms are added which are the result of the quantum effects. The quantum correction terms have better behavior in response to potential discontinuities than the O(h/sup 2/) approximation. The derived equations are used for simulation of resonant tunneling diode (RTD). The results show a negative resistance region in the I-V curve of the diode for the cases where O(h/sup 2/) equations could not show this phenomenon.