On the Quantum Evolution of Chaotic Systems Affected by Repeated Frequent Measurement

We investigate the e ect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting motion in the energy space. Repeated frequent measurement of suppressed systems results to the delocalization. Time evolution of the observed chaotic systems becomes close to the classical frequently broken di usion-like process described by rate equations for the probabilities rather than for amplitudes.