Suppose the degenerate states wave function of a Hamitonian operatorHis accompanied by a natural phase factor, then we can own it to the role of sometransformation generator played by some non--degenerate Hermitian op...Suppose the degenerate states wave function of a Hamitonian operatorHis accompanied by a natural phase factor, then we can own it to the role of sometransformation generator played by some non--degenerate Hermitian operator containedin the complete set of conserved mechanical quantities. When this idea is extended tothe spece coordinated by parameters and the momentum--like operator is introduced,thenon-Abelian Berry phose factor of degenerate wave function can be easily gotter afterthe system evolves along a closed adiabatic curve.展开更多
At present, Berry’s topological phase factor and the studies of its relevant problem have drawn considerable attention . It concerns the theoretical analysis of chiral anomaly, etc., which is also experimentally conf...At present, Berry’s topological phase factor and the studies of its relevant problem have drawn considerable attention . It concerns the theoretical analysis of chiral anomaly, etc., which is also experimentally confirmed. In general, the explicit determination of the展开更多
文摘Suppose the degenerate states wave function of a Hamitonian operatorHis accompanied by a natural phase factor, then we can own it to the role of sometransformation generator played by some non--degenerate Hermitian operator containedin the complete set of conserved mechanical quantities. When this idea is extended tothe spece coordinated by parameters and the momentum--like operator is introduced,thenon-Abelian Berry phose factor of degenerate wave function can be easily gotter afterthe system evolves along a closed adiabatic curve.
基金Project supported by the National Natural Science Foundation of China.
文摘At present, Berry’s topological phase factor and the studies of its relevant problem have drawn considerable attention . It concerns the theoretical analysis of chiral anomaly, etc., which is also experimentally confirmed. In general, the explicit determination of the
