The quantum hydrodynamic smooth effective potential

Carl Gardner, Christian Ringhofer

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)17-20
Number of pages4
JournalVLSI Design
Issue number1-4
StatePublished - 1998


  • Quantum hydrodynamic model
  • Smooth effective potential

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering


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