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.
Received: 08 October 2006
Revised: 09 November 2006
Accepted manuscript online:
PACS:
42.50.Ar
Fund: 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).
Cite this article:
Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Li Yan-Ling(李艳玲) Wigner function and tomogram of the Hermite polynomial state 2007 Chinese Physics 16 2415
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