中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2415-2421.doi: 10.1088/1009-1963/16/8/043

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Wigner function and tomogram of the Hermite polynomial state

孟祥国, 王继锁, 李艳玲   

  1. Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2006-10-08 修回日期:2006-11-09 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10574060) and the Natural Science Foundation of Shandong Province of China (Grant No~Y2004A09).

Wigner function and tomogram of the Hermite polynomial state

Meng Xiang-Guo(孟祥国)†, Wang Ji-Suo(王继锁), and Li Yan-Ling(李艳玲)   

  1. Department of Physics, Liaocheng University, Liaocheng 252059, China
  • Received:2006-10-08 Revised:2006-11-09 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10574060) and the Natural Science Foundation of Shandong Province of China (Grant No~Y2004A09).

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摘要： Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, this paper derives the Wigner function for the Hermite polynomial state (HPS). The tomogram of the HPS is calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics.

Abstract: Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, this paper derives the Wigner function for the Hermite polynomial state (HPS). The tomogram of the HPS is calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics.

Key words: Hermite polynomial state, IWOP technique, Wigner function, tomogram

中图分类号: 

  • 42.50.Ar