Abstract:
Based on the newly constructed Einstein, Podolsky and Rosen (EPR) entangled state representation we introduce macroscopic classical functions associated with atomic coherent state τ with angular momentum value j. These functions are proportional to the ordinary one-variable Hermite polynomials of order 2j. The corresponding Wigner quasiprobability function for τ in phase space is also derived which turns out to be a two-variable Hermite polynomial H 2j, 2j. In so doing, a new classical-quantum correspondence scheme for angular momentum system is established.
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Received 7 August 2002 / Received in final form 14 December 2002 Published online 24 April 2003
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ID="a"Work supported by the National Natural Science Foundation of China under grant 10175057.
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ID="b"e-mail: fhym@sjtu.edu.en
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Fan, Hy., Chen, J. Atomic coherent states studied by virtue of the EPR entangled state and their Wigner functions. Eur. Phys. J. D 23, 437–442 (2003). https://doi.org/10.1140/epjd/e2003-00070-4
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DOI: https://doi.org/10.1140/epjd/e2003-00070-4