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Generalized Barut-Girardello Coherent States for Mixed States with Arbitrary Distribution

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Abstract

In the paper we examine some properties of the generalized coherent states of the Barut-Girardello kind. These states are defined as eigenstates of a generalized lowering operator and they are strongly dependent on the structure constants. Besides the pure coherent states we focused our attention on the mixed states one, which are characterized by different probability distributions. As some examples we consider the thermal canonical distribution and the Poisson distribution functions. We calculate for these cases the Husimi’s Q and quasi-probability P-distribution functions.

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Authors and Affiliations

  1. Department of Physical Foundations of Engineering, “Politehnica” University of Timisoara, B-dul V. Parvan, No. 2, Timisoara, 300223, Romania

    Duşan Popov, Nicolina Pop, Viorel Chiritoiu, Ioan Luminosu & Marius Costache

Authors
  1. Duşan Popov
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  2. Nicolina Pop
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  3. Viorel Chiritoiu
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  4. Ioan Luminosu
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  5. Marius Costache
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Correspondence to Duşan Popov.

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Popov, D., Pop, N., Chiritoiu, V. et al. Generalized Barut-Girardello Coherent States for Mixed States with Arbitrary Distribution. Int J Theor Phys 49, 661–680 (2010). https://doi.org/10.1007/s10773-010-0246-0

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  • DOI: https://doi.org/10.1007/s10773-010-0246-0

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