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VLSI Design
Volume 6 (1998), Issue 1-4, Pages 17-20
http://dx.doi.org/10.1155/1998/89074

The Quantum Hydrodynamic Smooth Effective Potential

Department of Mathematics, Arizona State University, Tempe 85287-1804, AZ, USA

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An extension of the quantum hydrodynamic (QHD) model is discussed which is valid for classical potentials with discontinuities. The effective stress tensor for the QHD equations cancels the leading singularity in the classical potential at a barrier and leaves a residual smooth effective potential with a lower potential height in the barrier region. The smoothing makes the barrier partially transparent to the particle flow and provides the mechanism for particle tunneling in the QHD model.