21 citations · 43 across the 4 of their papers we have counts for
10 papers
Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid
J. A. Calzada, S. Kuru, J. Negro +1
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting them. It is shown th…
Bases in Lie and Quantum Algebras
A. Ballesteros, E. Celeghini, M. A. del Olmo
Applications of algebras in physics are related to the connection of measurable observables to relevant elements of the algebras, usually the generators. However, in the determinat…
From Quantum Universal Enveloping Algebras to Quantum Algebras
E. Celeghini, A. Ballesteros, M. A. del Olmo
The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is…
Superintegrable quantum u(3)--systems and higher rank factorizations
J. A. Calzada, J. Negro, M. A. del Olmo
A class of two-dimensional superintegrable systems on a constant curvature surface is considered as the natural generalization of some well known one-dimensional factorized systems…
On hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry
Francisco Correa, Mariano A. del Olmo, Mikhail S. Plyushchay
We show that for positive integer values of the parameter in the conformal mechanics model the system possesses a hidden nonlinear superconformal symmetry, in which reflection…
Quantization of Drinfel'd doubles
A. Ballesteros, E. Celeghini, M. A. del Olmo
Hopf algebra quantizations of 4-dimensional and 6-dimensional real classical Drinfel'd doubles are studied by following a direct "analytic" approach. The full quantization is expli…