Spin 1/2 System In Effect, The Quantum Phase Factor And The External Magnetic Field

Quantum Phase factors are introduced by the numbers in this article. Including A-B Phase -, Berry phase. Completely analyze and discuss Berry phase factors of spinl/2 particle in rotating magnetic field. Give the meanings of Berry phase' geometrical description. In this article, introduce the important meanings of A-B effect, first is A have physics factors ,second is wave function phase factor is connected with geometrical factor in (B=0, A 0),through A-B effect, we know : electromagnetic field vector E, B is local quantity, electromagnetic potential A, is global quantity, adding A , description and by the way of loop integral, electromagnetic field' effect is completely descripted.Then introduce Berry's work of finding phase factors Including Quantum phase factors accompanying adiabatic changes, on the base of this, discuss Berry phase factors of spinl/2 particle in rotating magnetic field. Discuss and analyze changing characteristic of Berry phase, the Berry phase is intimately connected with the nonstationarity of a quantum state. There is no Berry phase in a stationary state. Finally introduce the finding process of Berry phase in experiment.