Open AccessThe Quantum Hydrodynamic Smooth Effective Potential
Author(s) -
Carl L. Gardner,
Christian Ringhofer
Publication year - 1998
Publication title -
vlsi design
Language(s) - English
Resource type - Journals
eISSN - 1065-514X
pISSN - 1026-7123
DOI - 10.1155/1998/89074
Subject(s) - classification of discontinuities , singularity , quantum tunnelling , quantum potential , quantum , smoothing , rectangular potential barrier , tensor (intrinsic definition) , mechanism (biology) , physics , flow (mathematics) , classical mechanics , mathematics , mechanics , quantum mechanics , mathematical analysis , geometry , statistics
An extension of the quantum hydrodynamic (QHD) model is discussed which is valid forclassical potentials with discontinuities. The effective stress tensor for the QHD equationscancels the leading singularity in the classical potential at a barrier and leaves a residualsmooth effective potential with a lower potential height in the barrier region. The smoothingmakes the barrier partially transparent to the particle flow and provides the mechanism forparticle tunneling in the QHD model
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