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Generalized deformed oscillator for vortices in superfluid films

Dennis Bonatsos·C. Daskaloyannis
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Abstract

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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Dennis Bonatsos, C. Daskaloyannis. 1997-01-21. Generalized deformed oscillator for vortices in superfluid films. https://arxiv.org/abs/cond-mat/9701143

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