AN ANALYSIS OF QUANTUM CORRECTION OF THE ONE-DIMENSIONAL AND STATIONARY HYDRODYNAMIC MODELS FOR SEMICONDUCTORS
Pages 44-47
Dan Comănescu, Eugenia Tulcan-Paulescu
Abstract
The one-dimensional and stationary case of the HD-model and the QHD-model for semiconductors with constant temperature are mathematically and numerically studied. The Quantum Hydrodynamic Model (QHD) shows a remarkable potential to describe the nanostructured devices, as well as quantum solar cells. By simulating a semiconductor device it is shown that the quantum Bohm potential (the quantum correction) changes significantly the behavior of the solutions.