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The Screen Representation of Vector Coupling Coefficients or Wigner 3j Symbols: Exact Computation and Illustration of the Asymptotic Behavior

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Computational Science and Its Applications – ICCSA 2014 (ICCSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8579))

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Abstract

The Wigner 3j symbols of the quantum angular momentum theory are related to the vector coupling or Clebsch-Gordan coefficients and to the Hahn and dual Hahn polynomials of the discrete orthogonal hyperspherical family, of use in discretization approximations. We point out the important role of the Regge symmetries for defining the screen where images of the coefficients are projected, and for discussing their asymptotic properties and semiclassical behavior. Recursion relationships are formulated as eigenvalue equations, and exploited both for computational purposes and for physical interpretations.

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Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Estadual de Feira de Santana, Brazil

    Ana Carla P. Bitencourt & Mirco Ragni

  2. Department of Physics, University of California, Berkeley, CA, 94720, U.S.A

    Robert G. Littlejohn

  3. Department of Chemistry, University of California, Santa Cruz, CA, 95064, U.S.A

    Roger Anderson

  4. Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia, Italy, 06123

    Vincenzo Aquilanti

  5. Instituto de Física, Universidade Federal da Bahia, Brasil

    Vincenzo Aquilanti

Authors
  1. Ana Carla P. Bitencourt
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  2. Mirco Ragni
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  3. Robert G. Littlejohn
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  4. Roger Anderson
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  5. Vincenzo Aquilanti
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Editor information

Editors and Affiliations

  1. School of Engineering, University of Basilicata, 85100, Potenza, Italy

    Beniamino Murgante

  2. Department of Computer and Information Sciences, Covenant University, Ota, Nigeria

    Sanjay Misra

  3. Department of Production and Systems, University of Minho, 4710-057, Braga, Portugal

    Ana Maria A. C. Rocha

  4. DICAR, Polytecnico di Bari, 70125, Bari, Italy

    Carmelo Torre

  5. University of Minho, Braga, Portugal

    Jorge Gustavo Rocha  & Maria Irene Falcão  & 

  6. Monash University, 3800, Clayton, VIC, Australia

    David Taniar

  7. Department of Intelligent Informatics, Kyushu Sangyo University, 2-3-1 Matsukadai, 813-8503, Higashi-ku, Fukuoka, Japan

    Bernady O. Apduhan

  8. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

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Bitencourt, A.C.P., Ragni, M., Littlejohn, R.G., Anderson, R., Aquilanti, V. (2014). The Screen Representation of Vector Coupling Coefficients or Wigner 3j Symbols: Exact Computation and Illustration of the Asymptotic Behavior. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2014. ICCSA 2014. Lecture Notes in Computer Science, vol 8579. Springer, Cham. https://doi.org/10.1007/978-3-319-09144-0_32

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  • DOI: https://doi.org/10.1007/978-3-319-09144-0_32

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09143-3

  • Online ISBN: 978-3-319-09144-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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