Communications in Theoretical Physics ›› 1999, Vol. 31 ›› Issue (3): 391-396.

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Quantum Phase and Phase Difference for Fermion

LIU Shengdian1, ZHANG Xiong2, HOU Guang2, ZHANG Yongde2   

  1. 1. Department of Physics, Yantai Normal Institute, Yantai 264025, China;
    2. Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China
  • Received: 1997-08-02 Published: 1999-04-30
  • Funding Information: 

    The project partly supported by National Natural Science Foundation of China and partly by the Natural Science Foundation of Shandong Province

Abstract: In this paper, from the index theorem, we present the Hermitian phase operator for fermion, give its eigenvalues and orthogonal, normalized and complete eigenstates. Furthermore, we also get the phase difference operator for two fermions and discuss its quantum properties.

Key words: fermion phase, phase difference, operator index, quantum addition