New Derivation for Cranking Hamiltonian and Tensor Form of Angular Velocity

We present an alternative approach for deriving the Coriolis term ω(t) J of cranking model Hamiltonian, which is based on the technique of integration within an ordered product of operators. The merit of this approach is that the tensor form of angular velocity ω, which describes the body frame rotation, naturally appears. Remarkablx the angular velocity we obtained here can be time-dependent.