Abstract: This paper mainly discusses the quantum transition in the quantum mechanics education by using Mathematica software. Based on the analytical and numerical calculations,the probability diffraction and interference in the state transition process are investigated in detail. Analogy to the light wave, the corresponding wave properties of the probability wave and the resonant transition induced by the coherent superposition are clearly explained to the students. Under the perturbation theory, the resonant transitions on the constant perturbation related to probability d P iffraction and on the harmonic perturbation related to probability interference are explained by a time-dependent robability superposition mechanism.

Key words: quantum transition, coherent probability superposition, resonant transition, probability diffraction