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Probability representation and spin states of two particles

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Journal of Russian Laser Research Aims and scope

Abstract

Tomographic probability distributions (tomograms) for spin states of two particles with spin j 1 and j 2 are explicitly calculated. For a system of two spins, the relation of the state tomogram with total spin j and the spin projection m to tomograms of spin states with spin j 1 and j 2 and spin projections m 1 and m 2 is found. The tomographic probability distribution of the state of two particles with total spin j is calculated using the Clebsch-Gordan coefficients. The tomographic entropy of the state with total spin j is expressed in terms of 3j-symbols and matrix elements of irreducible representation of the SU(2) group.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Olga V. Man’ko & Vladimir I. Man’ko

Authors
  1. Olga V. Man’ko
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  2. Vladimir I. Man’ko
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Dedicated to the memory of our friend and collaborator Dr. Andrey Vinogradov.

Manuscript submitted by the authors in English on June 19, 2006.

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Man’ko, O.V., Man’ko, V.I. Probability representation and spin states of two particles. J Russ Laser Res 27, 319–326 (2006). https://doi.org/10.1007/s10946-006-0015-y

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  • DOI: https://doi.org/10.1007/s10946-006-0015-y

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