activity
19942021
most citedQuadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems

156 citations · 433 across the 39 of their papers we have counts for

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Showing 1997Show all

5 papers · 1 filter

q-alg1997★ 5 cited

Nonlinear deformed su(2) algebras involving two deforming functions

D. Bonatsos, C. Daskaloyannis, P. Kolokotronis +2

The most common nonlinear deformations of the su(2) Lie algebra, introduced by Polychronakos and Ro\v cek, involve a single arbitrary function of J_0 and include the quantum algebr…

q-alg1997★ 10 cited

A nonlinear deformed su(2) algebra with a two-colour quasitriangular Hopf structure

D. Bonatsos, C. Daskaloyannis, P. Kolokotronis +2

Nonlinear deformations of the enveloping algebra of su(2), involving two arbitrary functions of J_0 and generalizing the Witten algebra, were introduced some time ago by Delbecq an…

quant-ph1997★ 30 cited

Coupled Q-oscillators as a model for vibrations of polyatomic molecules

Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis

The system of two -deformed oscillators coupled so that the total Hamiltonian has the su(2) symmetry is proved to be equivalent, to lowest order approximation, to a system o…

nucl-th1997

Symmetries in nuclei and molecules

Dennis Bonatsos, P. Kolokotronis, D. Lenis +6

Recent progress in two different fronts is reported. First, the concept of bisection of a harmonic oscillator (HO) or hydrogen atom (HA), used in the past in establishing the conne…

cond-mat1997

Generalized deformed oscillator for vortices in superfluid films

Dennis Bonatsos, C. Daskaloyannis

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…