A Simple Model for the QuantumHydrodynamic Simulation of ElectronTransport in Quantum Confined Structuresin the Presence of Vortices

摘要

It is demonstrated that the ballistic quantum transport properties of an open quantumdot may be described by an ensemble of spatially correlated virtual classical particlesmoving within self-avoiding strings. The string paths correspond to ray trajectories. Thestrings exhibit the necessary properties of self-avoidance, interference and the non-localcondition∮mv·dr=nh. The formalism suggests that numerical simulation of quantumflows may be constructedab initioby using the string representation.