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The Quantum Hydrodynamic Smooth Effective Potential
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