The Study About Geometric Phase In Quantum Mechanics

In 1984,"Berry phase" was first introduced by Berry in hispaper.After that the quantum adiabatic phase was widely researched andhave had gained many useful results.Many peple have researched theundynamical phase in the adiabatic state |ψ|(t)= n(0)> . From it we canget the result。In this paper,we have studyed the undynamical phase in thestate|ψ(0)>= ∑_m c_m(t) |n(0) and applied the results in thetwo-level system.We can observe the new properties in this system.。The undynamical phase we have gained in this paper is differentfromthe Berry phase,but the results is consistent with the Berry phase inthe energy eigenstate.