中国物理B ›› 2001, Vol. 10 ›› Issue (5): 380-383.doi: 10.1088/1009-1963/10/5/303

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ANGULAR VELOCITY AND CORIOLIS EFFECT IN TIME-DEPENDENT QUANTUM MECHANICAL SU2 ROTATION

范洪义, 孙明斋   

  1. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2000-10-01 出版日期:2001-05-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the President Foundation of Chinese Academy of Sciences.

ANGULAR VELOCITY AND CORIOLIS EFFECT IN TIME-DEPENDENT QUANTUM MECHANICAL SU2 ROTATION

Fan Hong-yi (范洪义), Sun Ming-zhai (孙明斋)   

  1. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • Received:2000-10-01 Online:2001-05-15 Published:2005-06-12
  • Supported by:
    Project supported by the President Foundation of Chinese Academy of Sciences.

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摘要： Starting from a time-dependent rotation U(t) in SU2 group element space, we derive its corresponding quantum mechanical dynamic Coriolis term and the relationship between U(t) and rotational angular velocity. Throughout our discussion, the technique of integration within an ordered product of operators is fully used, which has the advantage that the correspondence between the classical rotation and the quantum rotation is in a transparent fashion. A new angular-velocity formula is also derived.

Abstract: Starting from a time-dependent rotation U(t) in SU2 group element space, we derive its corresponding quantum mechanical dynamic Coriolis term and the relationship between U(t) and rotational angular velocity. Throughout our discussion, the technique of integration within an ordered product of operators is fully used, which has the advantage that the correspondence between the classical rotation and the quantum rotation is in a transparent fashion. A new angular-velocity formula is also derived.

Key words: angular velocity, Coriolis effect, SU2 rotation

中图分类号:  (Algebraic methods)

  • 03.65.Fd
02.20.-a (Group theory)