On the kinematics and quantum dynamics of traffic flow

The hydrodynamic model of traffic flow is presented and interpreted. Traffic dimensions are defined for the dynamic entities of flow and the behaviour of congestive and dispersive flow is discussed dependent on the value of the local traffic transfer number, R. The wave equation is one example of dispersive flow, where quantum numbers define the condition of free flow at the endpoints of the link. The Schrödinger equation is defined and applied to the study of the cyclic work journey and the problem of traffic lights as an harmonic oscillator.