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High-order realisations of the para-Fermi algebra with parafield operators

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Abstract

Using second-order realisations of Lie algebras by means of creation and annihilation parafield operators the generators of the para-Fermi algebras are expressed as high-order polynomials of para-Bose or para-Fermi creation and annihilation operators.

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References

  1. Kademova, K. V. (1970a). Realisations of Lie Algebras with Parafield Operators.Nucl. Phys. Vol. B15, 350.

  2. Kademova, K. V. (1970b). Realisations of the Representations of the para-Fermi Algebra in the Fock Space of Bose Operators: Part I.International Journal of Theoretical Physics, Vol. 3, No. 2, p. 109.

  3. Kademova, K. V. and Kálnay, A. J. (1970). Realisations of the Representations of para-Fermi Algebra in Fock Space of Bose Operators: Part II.International Journal of Theoretical Physics, Vol. 3, No. 2, p. 115.

  4. Kademova, K. V. and Kraev, M. M. (1970). Realisations of the Representations of para-Fermi Algebra-Part III: Fock Space of Fermi Operators.International Journal of Theoretical Physics, Vol. 3, No. 3, p. 185.

  5. Kademova, K. V. and Palev, T. D. (1970a). Second-order Realisations of Lie Algebras with Parafield Operators. (To be published.)

  6. Green, H. S. (1953).Physical Review,90, 270.

  7. Kademova, K. V. and Palev, T. D. (1970b). Lie Algebras and Quasifield Operators. (To be published.)

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Kademova, K.V. High-order realisations of the para-Fermi algebra with parafield operators. Int J Theor Phys 3, 295–298 (1970). https://doi.org/10.1007/BF00669757

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Annihilation Operator