ANGULAR VELOCITY AND CORIOLIS EFFECT IN TIME-DEPENDENT QUANTUM MECHANICAL SU_2 ROTATION

摘要

Staring from a time-dependent rotation U(t) in SU_2 group element space, we derive its corresponding quantum mechanical dynamic Coriolis term and the relationship between U(t) and rotational angular velocity. Throughout our discussion, the technique of integration within an ordered product of operators is fully used, which has the advantage that the correspondence between the classical rotation and the quantum rotation is in a transparent fashion. A new angular-velocity formula is also derived.