International Journal of Theoretical Physics

, Volume 48, Issue 11, pp 3268–3277 | Cite as

Two-variable Hermite Polynomial State and Its Wigner Function

  • Xiang-Guo Meng
  • Ji-Suo Wang
  • Bao-Long Liang


In this paper we obtain the Wigner functions of two-variable Hermite polynomial states (THPS) and their marginal distribution using the entangled state |ξ〉 representation. Also we obtain tomogram of THPS by virtue of the Radon transformation between the Wigner operator and the projection operator of another entangled state |η,τ 1,τ 2〉.


Two-variable Hermite polynomial state Entangled state representation Wigner function Tomogram function 


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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of PhysicsLiaocheng UniversityLiaochengP.R. China

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