Abstract:

In the teaching of quantum mechanics，Schrodinger equation is the core part of describing the evolution of a quantum system. Research on Schrodinger equation enables students to understand the differences between quantum physics and classical physics. In the course of quantum physics，Schrodinger equation is very important for students to have a grasp of the properties of quantum state. However，in teaching，most examples focus on the stationary Schrodinger equation. The students cannot master the time evolution of quantum state very well. Thus we introduce the simplest system which is composed of a single photon and coupled cavity system. The probability of photon in different cavities varies with time. Simultaneously，the simplest Hamiltonian is used to describe the hopping process of photons in the system.The analytical expression of the probability depending on time is given.As a result， the time evolution of quantum state can be understood more intuitively.

Key words: quantum systems, single photon, coupled cavities