VLSI Design

VLSI Design / 1998 / Article

Open Access

Volume 6 |Article ID 089074 | https://doi.org/10.1155/1998/89074

Carl L. Gardner, Christian Ringhofer, "The Quantum Hydrodynamic Smooth Effective Potential", VLSI Design, vol. 6, Article ID 089074, 4 pages, 1998. https://doi.org/10.1155/1998/89074

The Quantum Hydrodynamic Smooth Effective Potential

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.

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.


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