材料期刊网

Based on he homotrinuclear spin cluster having SU(2)circle times SU(2) symmetry With twofold orbital degeneracy tau = 1/2) and the SU(2) algebraic structures of both (s) over cap and (tau) over cap subspaces in the external magnetic field. We calculate exactly the non-adiabatic energy levels and the cyclic and non-cyclic non-adiabatic geometric phase of the homotrinuclear spin cluster by making use of the method of algebraic dynamics. The solution Will show that the Berry phase is much influenced by the parameters N = gamma(s)/gamma(tau) (gamma(s) and gamma(tau) are the magnetic momentums of (s) over cap and (tau) over cap subspaces, respectively) in addition to omega/Omega in a rotating magnetic field. The change of the Berry phase in the basis state of the system is demonstrated from the changing diagram.