1) However the total phase in a nonadiabatic cyclic evolution generally consists of both the geometric and dynamical phases.

2) Considering the effect of nonadiabatic mentioned in the previous work of Ouyang et al , the stability of two dimensional interfacial flow is analyzed in this paper.

3) In deriving the geometric phase in two state system, the cyclic condition is emphasized for general nonadiabatic case.

4) We derive formulae of how to calculate the geometric and dynamic phases for spin-1 particle in adiabatic and nonadiabatic evolutions, and calculate the phases by using these formulae.

5) A new cascade nonlinear inferential control strategy for a nonadiabatic fixed bed reactor based on improved hybrid model is proposed.

6) It describes a local blocking flow pattern developed under the joint action of nonadiabatic heating, dissipation, nonlinear advection and the linear dispersion.

7) By quantum jump method, we find that the corrections to its phase for the no-jump trajectory are different when considering adiabatic and nonadiabatic evolutions.

8) The temperature dependence of resistivity at high temperature is well fit by nonadiabatic small polaron hopping model for LCBMO and LSBMO samples, and their activation energies are obtained.