Elsevier

Physics Letters A

Volume 183, Issues 5–6, 20 December 1993, Pages 363-370
Physics Letters A

Generalized deformed algebra

https://doi.org/10.1016/0375-9601(93)90589-RGet rights and content

Abstract

In this paper we construct a generalized deformed algebra having the q-deformed Heisenberg-Weyl algebras and Tamm-Dancoff algebra as its special cases. We also show that the algebra is a Hopf algebra. Moreover we obtain a realization of the generalized deformed su(N) algebra in terms of the generalized deformed Heisenberg-Weyl algebra and discuss the deformed harmonic oscillator problem.

References (28)

  • H. de Vega et al.

    Nucl. Phys. B

    (1984)
  • N. Bogoliubov et al.

    Phys. Lett. A

    (1992)
  • R. Baxter

    Exactly solved models in statistical mechanics

    (1982)
  • L. Faddeev

    Sov. Sci. Rev. Math. C

    (1981)
  • N. Bogoliubov et al.
  • R. Bullough et al.
  • K. Sklyanin

    J. Sov. Math.

    (1982)
  • P. Kulish et al.

    J. Sov. Math.

    (1983)
  • R. Bullough
  • M.I. Jimbo

    Lett. Math. Phys.

    (1985)
  • V. Drin'feld
  • L. Faddeev
  • V. Kuryshkin

    Ann. Fond. Louis de Broglie

    (1980)
  • Cited by (0)

    View full text