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Trajectory-based nonadiabatic molecular dynamics requires calculating potential energy surfaces and its gradients for running trajectory,and then calculating quantum switching probability for hopping trajectory from one potential energy surface to another.We have previously derived analytical formula for quantum switching probability[1-3].However,we need determine seam surfaces which can be as difficult as calculating nonadiabatic coupling vector [4-6].Recently,we have developed the new method to calculate quantum switching probability based on only adiabatic potential energy surfaces and its gradients without information of seam surfaces [7].Incorporating with on-the-fly trajectory surface hoping algorithm,the present method can be as simpleas molecular dynamics on a single potential energy surface.We are now applying the present method to photoisomerization in azobenzene[7],stilbene[8] and nonadiabatic chemical reaction involving triplet electronic states for carbon dioxide [9].