Generalized deformed oscillator for vortices in superfluid films

Details Generalized deformed oscillator for vortices in superfluid films Generalized deformed oscillator for vortices in superfluid films

1997-01-21

arxiv.org/abs/cond-mat/9701143v1

Physics

Condensed Matter

12 pages, LaTeX

Scientific paper

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) term and a quadratic term. In contrast to the deformed oscillators occuring 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 realization of the algebra su(1,1).

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