Skip to main content
SpringerLink
Log in

Bosonic and fermionic realizations of an operator-deformed Heisenberg-Weyl algebra

  • Note Brevi
  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

Starting from independent sets of one-dimensional «bosonic» and «fermionic» operators, we build up both a «bosonic» and a «fermionic» even-dimensional realization of an operatorial deformation of the Heisenberg-Weyl algebra, recently introduced to describe particles with intermediate statistics (guons). It is shown that these two deformed algebras are connected by unitary transformation. Mixed realizations are also generated by a simple change of representation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. See,e.g.,Wilczek F. (Editor),Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore) 1989;Lerda A.,Anyons: Quantum Mechanics of Particles with Fractional Statistics (Springer, Berlin) 1992 and references therein.

    Google Scholar 

  2. Green H. S.,Phys. Rev.,90 (1953) 270.

    Article  MATH  ADS  Google Scholar 

  3. Volkov D. V.,Sov. Phys. JETP,11 (1960) 375.

    MATH  Google Scholar 

  4. Messiah A. M. L. andGreenberg O. W.,Phys. Rev.,138 (1965) 1155.

    MathSciNet  ADS  Google Scholar 

  5. Leinaas J. M. andMyrheim J.,Nuovo Cimento B,37 (1977) 1.

    Article  ADS  Google Scholar 

  6. Yang C. N. andYang C. P.,J. Math. Phys.,10 (1969) 1115.

    Article  MATH  ADS  Google Scholar 

  7. Wilczek F.,Phys. Rev. Lett.,48 (1982) 1144;49 (1982) 957.

    Article  MathSciNet  ADS  Google Scholar 

  8. Haldane F. D. M.,Phys. Rev. Lett.,66 (1991) 1529;67 (1991) 937.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Greenberg O. W. andMohapatra R. N.,Phys. Rev. D,39 (1989) 2032;Greenberg O. W.,Phys. Rev. Lett.,64 (1990) 705;Phys. Rev. D,43 (1991) 4111;Mohapatra R. N.,Phys. Lett. B,242 (1990) 407.

    Article  ADS  Google Scholar 

  10. Wu L., Wu Z. andSun J.,Phys. Lett. A,170 (1992) 280.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Scipioni R.,Phys. Lett. B,327 (1994) 56.

    Article  MathSciNet  ADS  Google Scholar 

  12. De Falco L. andScipioni R.,Nuovo Cimento A,107 (1994) 1789.

    Article  ADS  Google Scholar 

  13. De Falco L., Mignani R. andScipioni R.,Nuovo Cimento A,108 (1995) 263.

    Article  ADS  Google Scholar 

  14. De Falco L., Mignani R. andScipioni R.,Phys. Lett. A,201 (1995) 9.

    Article  MathSciNet  ADS  Google Scholar 

  15. De Falco L., Mignani R. andScipioni R.,Nuovo Cimento A,108 (1995) 1029.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica «E. Amaldi», Università di Roma III, Via C. Segre 2, I-00146, Roma, Italy

    R. Mignani

  2. INFN, Sezione di Roma I, c/o Dipartimento di Fisica, Università di Roma I «La Sapienza», P.le A. Moro 2, I-00185, Roma, Italy

    L. De Falco & R. Mignani

Authors
  1. L. De Falco
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Mignani
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

De Falco, L., Mignani, R. Bosonic and fermionic realizations of an operator-deformed Heisenberg-Weyl algebra. Nuov Cim A 109, 195–199 (1996). https://doi.org/10.1007/BF02730947

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02730947

PACS

PACS

Search

Navigation