In order to develop and construct new quantum control methods and mechanisms,the dynamical behavior of a single particle wave packet in a time-dependent external field is systematically studied by calculating the energy spectrum and propa-gator of the system based on one-dimensional tight-binding ring system in magnetic fields.The results show that the vector potential can appear in the second quantized Hamiltonian of the tight-binding model in the form of phase,and the dynamical effects of wave packet induced by time-varying vector potential is the same as that of the system in the presence of external electric field,exhibiting consistency with Faraday′s electromagnetic induction law in classical physics.This relationship corre-sponding to classical physics provides an important guiding ideology for the construction of new quantum control mechanisms.
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