中国物理B ›› 2003, Vol. 12 ›› Issue (1): 25-32.doi: 10.1088/1009-1963/12/1/305

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The equivalence between B-W and K-G band R-S equations

阮图南1, 黄时中2, 吴 宁3, 郑志鹏3   

  1. (1)Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China; (2)Department of Physics, Anhui Normal University, Wuhu 241000, China; (3)Institute of High Energy Physics, Chinese Academy of Sciences,Beijing 100039, China
  • 收稿日期:2002-05-07 修回日期:2002-07-31 出版日期:2003-01-20 发布日期:2003-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19947001, 90103010 and 19991480), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 97035807), the Beijing Positive-Negative Electron Collision National Laboratory of China, the Center for Theoretical Nuclear Physics of Lanzhou Heavy Ion Accelerator National Laboratory of China, and the Natural Science Foundation of Anhui Province, China (Grant No 2001KJ109).

The equivalence between B-W and K-G band R-S equations

Huang Shi-Zhong (黄时中)ab, Ruan Tu-Nan (阮图南)b, Wu Ning (吴 宁)c, Zheng Zhi-Peng (郑志鹏)c   

  1. a Department of Physics, Anhui Normal University, Wuhu 241000, China; b Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China; c Institute of High Energy Physics, Chinese Academy of Sciences,Beijing 100039, China
  • Received:2002-05-07 Revised:2002-07-31 Online:2003-01-20 Published:2003-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19947001, 90103010 and 19991480), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 97035807), the Beijing Positive-Negative Electron Collision National Laboratory of China, the Center for Theoretical Nuclear Physics of Lanzhou Heavy Ion Accelerator National Laboratory of China, and the Natural Science Foundation of Anhui Province, China (Grant No 2001KJ109).

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摘要： The equivalence between the Bargmann--Wigner (B-W) equations and the Klein--Gordon (K-G) equations for integral spin, and the Rarita--Schwinger (R-S) equations for half integral spin is established by explicit derivation, starting from the lowest spin cases. It is demonstrated that all the constraints or subsidiary conditions imposed on the K-G or R-S equations are included in the B-W equations.

Abstract: The equivalence between the Bargmann--Wigner (B-W) equations and the Klein--Gordon (K-G) equations for integral spin, and the Rarita--Schwinger (R-S) equations for half integral spin is established by explicit derivation, starting from the lowest spin cases. It is demonstrated that all the constraints or subsidiary conditions imposed on the K-G or R-S equations are included in the B-W equations.

Key words: higher spins, Bargmann--Wigner equations, Klein--Gordon equations, Rarita--Schwinger equations

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
03.65.Pm (Relativistic wave equations)