GENERALIZED DEFORMED OSCILLATOR FOR VORTICES IN SUPERFLUID FILMS

The algebra of observables of a system of two identical vortices in a superfluid thin film is described as a generalized deformed oscillator with a structure function containing a linear (harmonic oscillator) t erm and a quadratic term. In contrast to the deformed oscillators occu rring in other physical systems (correlated fermion pairs in a single- j nuclear shell, Morse oscillator), this oscillator is not amenable to perturbative treatment and cannot be approximated by quons. From the mathematical viewpoint, this oscillator provides a novel boson realiza tion of the algebra su(1,1).