Journal of Russian Laser Research

, Volume 26, Issue 6, pp 429–444 | Cite as

Probability Representation of Classical States

  • O. V. Man'ko
  • V. I. Man'ko
  • O. V. Pilyavets
Article

Abstract

Probability representation of classical states described by symplectic tomograms is discussed. Tomographic symbols of classical observables which are functions on phase-space are studied. Explicit form of kernel of commutative star-product of the tomographic symbols is obtained.

Keywords

density matrix star-product symbol of operator quantum tomography Wigner function 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • O. V. Man'ko
    • 1
  • V. I. Man'ko
    • 1
  • O. V. Pilyavets
    • 2
  1. 1.P. N. Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Dolgoprudny, Moscow RegionRussia

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