30 citations · 87 across the 15 of their papers we have counts for
15 papers
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…
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…
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…
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…
Representations of the deformed U(su(2)) and U(osp(1,2)) algebras
Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis +1
The polynomial deformations of the Witten extensions of the U(su(2)) and U(osp(1,2)) algebras are three generator algebras with normal ordering, admitting a two generator subalgebr…
Quantum Algebras in Nuclear Structure
Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis +1
Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case. After a…