The quantum theory and topological features of photon

Abstract

In this paper, we have proposed the spinor wave equation of free and non-free photon. On this basis, we given the spin operators and spin wave functions of photon, and calculated the wave function of photon in vacuum and medium. In addition, we have given the quantum Berry phase and Chern number with the photon wave function, which can be used to studied the quantum topological features of photon in one-dimensional period medium.