The Quantum Hydrodynamic Smooth Effective Potential. Issue 1 (1998)

• Record Type: Journal Article
• Authors: Gardner, Carl L.; Ringhofer, Christian
• Is Part Of: VLSI design. Volume 6:Issue 1/4(1998)
• Page Start: 17
• Page End: 20
• Publication Date: 1998
• Subjects: quantum hydrodynamic model -- smooth effective potential; Integrated circuits -- Very large scale integration -- Periodicals; 621.395
• DOI: 10.1155/1998/89074
• Languages: English
• ISSNs: 1065-514X

Abstract

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.