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Comments on spin operators and spin-polarization states of 2 + 1 fermions

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Abstract.

In this brief article we discuss spin-polarization operators and spin-polarization states of 2 + 1 massive Dirac fermions and find a convenient representation by the help of 4-spinors for their description. We stress that in particular the use of such a representation allows us to introduce the conserved covariant spin operator in the 2 + 1 field theory. Another advantage of this representation is related to the pseudoclassical limit of the theory. Indeed, quantization of the pseudoclassical model of a spinning particle in 2 + 1 dimensions leads to the 4-spinor representation as the adequate realization of the operator algebra, where the corresponding operator of a first-class constraint, which cannot be gauged out by imposing the gauge condition, is just the covariant operator previously introduced in the quantum theory.

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References

  1. W. Sigel, Nucl. Phys. B 156, 135 (1979); R. Jackiw, S. Templeton, Phys. Rev. D 23, 2291 (1981); J.F. Schonfeld, Nucl. Phys. B 185, 157 (1981); S. Deser, R. Jackiw, S. Templeton, Ann. Phys. (N.Y.) 140, 372 (1982); 185, 406(E) (1988); S. Forte, Int. J. Mod. Phys. A 7, 1025 (1992)

    Article  Google Scholar 

  2. F. Wilczek, Fractional statistics, anyon superconductivity (World Sientific, Singapore 1990)

  3. V.G. Bagrov, D.M. Gitman, Exact solutions of relativistic wave equations (Kluwer Acad. Publisher, Dordrecht 1990)

  4. A.A. Sokolov, I.M. Ternov, Synchrotron radiation (Akademie-Verlag, Berlin 1968)

  5. B. Binegar, J. Math. Phys. 23, 1511 (1982)

    Article  Google Scholar 

  6. R. Coquereaux, Phys. Lett. B 115, 389 (1982)

    Article  Google Scholar 

  7. R. Jackiw, V.P. Nair, Phys. Rev. D 43, 19335 (1991)

    Article  Google Scholar 

  8. M.G. Alford, J. March-Russel, F. Wilczek, Nucl. Phys. B 328, 140 (1989)

    Article  Google Scholar 

  9. D.M. Gitman, A.L. Shelepin, Int. J. Theor. Phys. 40, 603 (2001)

    Article  Google Scholar 

  10. R. Fresneda, S. Gavrilov, D. Gitman, P. Moshin, Class. Quantum Gravity 21, 1419 (2004)

    Article  Google Scholar 

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Authors and Affiliations

  1. Departamento Física e Química, UNESP, Campus de Guaratinguetá, Brazil

    S. P. Gavrilov & J. L. Tomazelli

  2. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318-CEP, 05315-970, São Paulo, S.P., Brazil

    D. M. Gitman

Authors
  1. S. P. Gavrilov
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  2. D. M. Gitman
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  3. J. L. Tomazelli
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Corresponding author

Correspondence to S. P. Gavrilov.

Additional information

Received: 3 June 2004, Published online: 11 January 2005

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Gavrilov, S.P., Gitman, D.M. & Tomazelli, J.L. Comments on spin operators and spin-polarization states of 2 + 1 fermions. Eur. Phys. J. C 39, 245–248 (2005). https://doi.org/10.1140/epjc/s2004-02026-9

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  • DOI: https://doi.org/10.1140/epjc/s2004-02026-9

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