Persistent currents in mesoscopic cavities and the effect of level crossings as random variables Abstract In the present article we perform analytical and numerical calculations related to persistent currents in 2D isolated mesoscopic annular cavities threaded by a magnetic flux. The system considered has a high number of open channels and therefore the single particle spectrum exhibits many le...

The spectrum of eigenenergies of a quantum integrable system whose hamil-tonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the resu...

usually staggered to separate the two crossings as shown in Figure 2. Staggered crossings are designed to force pedestrians to face the upcoming traffic and to avoid the confusion that pedestrians may see the further pedestrian signal indication when they are supposed to follow the first-stage signal. Staggered crossings are implemented widely in the United Kingdom and Japan and are recommended...