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Chin. Phys. B, 2009, Vol. 18(2): 604-610    DOI: 10.1088/1674-1056/18/2/036
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

Wigner functions and tomograms of the even and odd binomial states

Zhang Xiao-Yan(张晓燕), Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Su Jie(苏杰)
School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
Abstract  Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, the Wigner functions of the even and odd binomial states (EOBSs) are obtained. The physical meaning of the Wigner functions for the EOBSs is given by means of their marginal distributions. Moreover, the tomograms of the EOBSs are calculated by virtue of intermediate coordinate-momentum representation in quantum optics.
Keywords:  even and odd binomial states      integration within an ordered product (IWOP) technique      Wigner function      marginal distribution  
Received:  18 July 2008      Revised:  13 August 2008      Accepted manuscript online: 
PACS:  42.50.Ar  
  03.65.Db (Functional analytical methods)  
  02.50.Ng (Distribution theory and Monte Carlo studies)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Shandong Province, China (Grant No Y2008A23).

Cite this article: 

Zhang Xiao-Yan(张晓燕), Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Su Jie(苏杰) Wigner functions and tomograms of the even and odd binomial states 2009 Chin. Phys. B 18 604

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