GEOMETRIC PHASE FROM A COMBINED EVOLUTION-OPERATOR-INVARIANT TECHNIQUE

The quantum phase problem is investigated by a synthesis of the evolut ion operator technique and method of invariants. This approach has bee n found to be quite effective to disclose interrelationship between ge ometric phases differing in the nature of evolution and to obtain resu lts for them without invoking the concept of parallel transport in the projective Hilbert space. The usefulness of the method developed is a scertained by studying the geometric phases associated with spinor evo lutions in rotating magnetic field.