Journal of Russian Laser Research

, Volume 27, Issue 1, pp 1–32

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

  • R. Álvarez-Nodarse
  • Yu. F. Smirnov
  • R. S. Costas-Santos
Article

DOI: 10.1007/s10946-006-0001-4

Cite this article as:
Álvarez-Nodarse, R., Smirnov, Y.F. & Costas-Santos, R.S. J Russ Laser Res (2006) 27: 1. doi:10.1007/s10946-006-0001-4

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.

Keywords

representation theory deformations quantum groups q-algebra 

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • R. Álvarez-Nodarse
    • 1
  • Yu. F. Smirnov
    • 2
  • R. S. Costas-Santos
    • 3
  1. 1.Departamento de Análisis MatemáticoUniversidad de SevillaSevillaSpain
  2. 2.D. V. Skobeltsyn Institute of Nuclear PhysicsM. V. Lomonosov Moscow State UniversityVorob’evy Gory, MoscowRussia
  3. 3.Departamento de MatemáticasE.P.S., Universidad Carlos III de MadridLeganésSpain