Group theoretical methods were employed to study the DS-related properties (quantum numbers, nonaccidental degenracies) of quantum systems possesing high-order dynamical symmetries. As explicit examples finite-order rotation symmetry in point and plane groups and a circularly polarized laser field was taken. It was found that nonaccidental degeneracies induced by spatial and time-reversal symmetries might not be lifted inside the laser field. The results showed that the time-evolution operator needs to be computed only upto 1/N of the optical cycle, whereN is the order of the dynamical symmetries.
|Number of pages||5|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - Jul 2002|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics