College Physics ›› 2020, Vol. 39 ›› Issue (01): 26-28.doi: 10.16854 / j.cnki.1000-0712.190038

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A further discussion on application of coherent state in the ordering of quantum operators

XU Ye-jun, LI Chao, AN Jing   

  1. 1. Interdisciplinary Research Center of Quantum and Photoelectric Information,School of Mechanical and Electronic Engineering,Chizhou University,Chizhou,Anhui 247000,China;2.School of Electronic Engineering,Heilongjiang University,Harbin,Heilongjiang 150080,China
  • Received:2018-01-28 Revised:2018-04-08 Online:2020-01-20 Published:2020-03-01

Abstract:

The S-ordering expansion of density operator of coherent state is obtained by means of the generalized Weyl quantization scheme. Based on this S-ordered expression and the technique of integration within S-or-dered product of operators,we derive the S - ordering forms of some quantum operators (including normally ordered,Weyl ordered and antinormally ordered product of operators). The proposed method further expands the application of the coherent state on the ordering of quantum operators.

Key words: coherent state, ordering of quantum operators, Weyl quantization scheme, technique of integration within S-ordered product of operators