Non-relativistic Limit of Dirac Equations in Gravitational Field and Quantum Effects of Gravity

Based on unified theory of electromagnetic interactions and gravitational interactions,the non-relativisticlimit of the equation of motion of a charged Dirac particle in gravitational field is studied.From the Schr(o|¨)dinger equationobtained from this non-relativistic limit,we can see that the classical Newtonian gravitational potential appears as a partof the potential in the Schr(o|¨)dinger equation,which can explain the gravitational phase effects found in COW experiments.And because of this Newtonian gravitational potential,a quantum particle in the earth’s gravitational field may form agravitationally bound quantized state,which has already been detected in experiments.Three different kinds of phaseeffects related to gravitational interactions are studied in this paper,and these phase effects should be observable insome astrophysical processes.Besides,there exists direct coupling between gravitomagnetic field and quantum spin,andradiation caused by this coupling can be used to directly determine the gravitomagnetic field on the surface of a star.