TIME EVOLUTION AND AHARONOV-ANANDAN PHASE FOR SYSTEM WITH DYNAMICAL SEMISIMPLE LIE ALGEBRA

Ⅰ. INTRODUCTION Since Berry’s discovery of the geometric phase in quantum adiabatic evolution, there has been increased interest in this holonomy phenomenon referred to as Berry phase. Aharonov and Anandan removed the adiabatic condition and studied the geometric phase (AA phase) for any cyclic evolution. AA phase and Berry phase have been verified in experi