SEMICLASSICAL CRITERION FOR SCARS IN WAVE-FUNCTIONS OF CHAOTIC SYSTEMS

A semiclassical criterion for the existence of scars, formulated in terms of a finite number of classical periodic orbits, is shown to be useful in order to predict scarring of specific wave functions of chaotic systems, and to partly disentangle their structure. This is demonstrated by a numerical study of wave functions of a chaotic billiard that axe of sufficiently high energy to be considered semiclassical.