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Chinese Physics, 2001, Vol. 10(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

Fan Hong-yi (范洪义), Sun Ming-zhai (孙明斋)
Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China
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.
Keywords:  angular velocity      Coriolis effect      SU2 rotation  
Received:  01 October 2000      Accepted manuscript online: 
PACS:  03.65.Fd (Algebraic methods)  
  02.20.-a (Group theory)  
Fund: Project supported by the President Foundation of Chinese Academy of Sciences.

Cite this article: 

Fan Hong-yi (范洪义), Sun Ming-zhai (孙明斋) ANGULAR VELOCITY AND CORIOLIS EFFECT IN TIME-DEPENDENT QUANTUM MECHANICAL SU2 ROTATION 2001 Chinese Physics 10 380

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