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A Kind of Dirac Operator in Hyperbolic Complex Space and Unitary Transformation

NING Dan1,2, LIU Cheng you1,2, YU Xue gang2,3, LIU Tie cheng2   

  1. 1. Department of Physics, Tonghua Normal College, Tonghua 134002, Jilin Province, China;2. College of Physics, Jilin University, Changchun 130021, China;3. College of Science, Tianjin University of Commerce, Tianjin 300134, China
  • Received:2008-05-26 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
  • Contact: LIU Tie cheng

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Abstract: Hyperbolic complex space is corresponding to Minkowski space. We introduced Dirac operator into hyperboloid half linearity space. Then, we established a theoretical framework which can describe the relativity theory and the quantum mechanics in a unified way.

Key words: hyperboloid complex number, Dirac operator, theory of relativity, quantum mechanics 

CLC Number: 

  • O411
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