A simple model for the quantum hydrodynamic simulation of electron transport in quantum confined structures in the presence of vortices

It is demonstrated that the ballistic quantum transport properties of an open quantum dot may be described by an ensemble of spatially correlated virtual classical particles moving within self-avoiding strings. The string paths correspond to ray trajectories. The strings exhibit the necessary properties of self-avoidance, interference and the non-local condition integralmv . dr = nh. The formalism suggests that numerical simulation of quantum flows may be constructed ab initio by using the string representation.