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The exclusive carrier of photonics is photon, which is a kind of microscopic particles so that obeys the generalized Schrodinger equation, namely the motion equation for a photon. A novel state-vector function that satisfies the equation with three quantum conditions has been constructed, which possesses not only the energy and the momentum but also the angular momentum (spin) for a photon. The analyses of the state-vector function indicate that the macroscopic polarization of light is how to relate with microscopic parameters of a photon such as the probability amplitude and the phase.