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The group SO(4) and generalized function

Author

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  • Sadeghi, J.
  • Pahlavani, M.
  • Emadi, A.

Abstract

In this paper, we give the matrix elements of SO(4) expressed in terms of the product of two associated Jacobi functions. Also we factorize this associated equation in terms of first order equations. These first order operators are the generators of SO(3)⊗SO(3) symmetry group which is important for describing de Sitter space–time.

Suggested Citation

  • Sadeghi, J. & Pahlavani, M. & Emadi, A., 2008. "The group SO(4) and generalized function," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 308-312.
  • Handle: RePEc:eee:chsofr:v:35:y:2008:i:2:p:308-312
    DOI: 10.1016/j.chaos.2007.06.092
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    References listed on IDEAS

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    1. El Naschie, M. Saladin, 2006. "Intermediate prerequisites for E-infinity theory (Further recommended reading in nonlinear dynamics and mathematical physics)," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 622-628.
    2. El Naschie, M.S., 2007. "Gauge anomalies, SU(N) irreducible representation and the number of elementary particles of a minimally extended standard model," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 14-16.
    3. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    4. Sadeghi, J. & Asadi, A., 2007. "Factorization method and stability of ϕ4 and Sine–Gordon theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 547-553.
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