On The Quantum Mechanics for One Photon
Ya-Peng Hu, Weigang Qiu, Hongbao Zhang
Abstract
This paper revisits the quantum mechanics for one photon from the modern viewpoint and by the geometrical method. Especially, besides the ordinary (rectangular) momentum representation, for the first time we provide the other two important representations, called the cylindrically symmetrical representation and the spherically symmetrical representation respectively. These other two representations are relevant to some of current photon experiments in quantum optics. In addition, the latter is useful for us to extract the information on the quantized black holes. The framework and approach presented here are also applicable to other particles with arbitrary mass and spin, such as the particle with spin 1 2. 1