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A q-analog of Racah polynomials and q-algebra SU q(2) in quantum optics

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Abstract

We study some q-analogs of Racah polynomials and some of their applications in the theory of representation of quantum algebras. Possible implementations in quantum optics are discussed.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, E-41080, Sevilla, Spain

    R. Álvarez-Nodarse

  2. D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia

    Yu. F. Smirnov

  3. Departamento de Matemáticas, E.P.S., Universidad Carlos III de Madrid, Ave. Universidad 30, E-28911, Leganés, Spain

    R. S. Costas-Santos

Authors
  1. R. Álvarez-Nodarse
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  2. Yu. F. Smirnov
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  3. R. S. Costas-Santos
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Manuscript submitted by the authors in English November 25, 2005.

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Álvarez-Nodarse, R., Smirnov, Y.F. & Costas-Santos, R.S. A q-analog of Racah polynomials and q-algebra SU q(2) in quantum optics. J Russ Laser Res 27, 1–32 (2006). https://doi.org/10.1007/s10946-006-0001-4

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