Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics

Abstract：

In the non-relativistic case the properties of the adiabatic approximation solution of the Schrödinger equation in the moving reference frame and the corresponding Berry's phase factor are discussed in this paper. Translation and rotation reference frames are analyzed in detail. These discussions demonstrate that the appearance of the Berry's phase factor depends on the choice of the reference frame. For the Bitter and Dubbers' experiment about neutron polarization, which concerns the translation reference frame, we not only obtain the result of the zeroth-order approximation in agreement with the experiment, but also do further analysis for the high-order effects that may appear when the adiabatic condition is broken.