QUANTUM PROBABILITY FLOW PATTERNS

Viewing electron transmission as a probability flow problem, we study the stream lines of the flow. Velocity nodes are found at the points o f wavefunction stationary phase, while vortices occur at wavefunction nodes. Analytical results are given for stream lines around such point s. The sum of the action along a closed path and the charge times the enclosed magnetic flux is quantized in terms of the number of ''quantu m vortices''.