Unified view of deformed single mode oscillator algebras

Feb, 1994
11 pages
Published in:
  • Phys.Lett.B 328 (1994) 55-59
e-Print:
Report number:
  • RBI-TH-3-94,
  • PMF-ZTF-3-94

Citations per year

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Abstract:
A general framework for the deformation of the single-mode oscillators is presented and all deformed single-mode oscillators are unified. The extensions of the Aric-Coon, genon, the para-Bose and the para-Fermi oscillators are proposed. The generalized harmonic oscillator considered by Brzezinski et al. is rederived in a simple way.Some remarks on deformation of SU(1,1)SU(1,1) and supersymmetry are made.
Note:
  • 12 pages, Latex file, preprint RBI-TH-3/94,PMF-ZTF-3/94, February 1994. (to appear in Phys.Lett. B)
  • algebra: oscillator
  • algebra: deformation
  • algebra: parastatistics
  • algebra: SU(1,1)
  • supersymmetry