TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS

In non-adiabatic cases the topological action assocaiated with Berry's phase and the corresp onding effective Hamiltonian are obtained by path-integral method.We also give the non-adiabatic transition probability amplitude in the first-order approximation.It is thereby shown that the Berry's phase and the induced gauge structure have universality of existence.As an example,dynamics of induced monople relating to the Bitter-Dubber's experiment is analysed in terms of induced gauge field.