H. Wiescher et Hj. Korsch, INTRINSIC ORDERING OF QUASI-ENERGY STATES FOR MIXED REGULAR CHAOTIC QUANTUM-SYSTEMS - ZEROS OF THE HUSIMI DISTRIBUTION/, Journal of physics. A, mathematical and general, 30(5), 1997, pp. 1763-1773
A method is proposed which allows an intrinsic ordering of the quasien
ergy states for a time-periodic quantum system according to the number
of essential zeros of the Husimi distribution in phase space. The cor
responding classical system shows a typical mixed dynamics with coexis
ting regular and chaotic regions in phase space. The-ordering of state
s allows a straight forward comparison with semiclassical quantities.
Moreover, a direct connection of the organization of zeros with the un
derlying classical phase space dynamics is demonstrated.