21 citations · 71 across the 7 of their papers we have counts for
7 papers
Polynomial symmetries of spherical Lissajous systems
J. A. Calzada, Ş. Kuru, J. Negro
In a previous work, both the constants of motion of a classical system and the symmetries of the corresponding quantum version have been computed with the help of factorizations. A…
Superintegrable Lissajous systems on the sphere
J. A. Calzada, Ş. Kuru, J. Negro
A kind of systems on the sphere, whose trajectories are similar to the Lissajous curves, are studied by means of one example. The symmetries are constructed following a unified and…
Nonlinear Bloch modes, optical switching and Bragg solitons in tightly coupled micro-ring resonator chains
P. Chamorro-Posada, P. Martín-Ramos, J. Sánchez-Curto +4
We study nonlinear wave phenomena in coupled ring resonator optical waveguides in the tight coupling regime. A discrete model for the system dynamics is put forward and its steady…
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…
Dynamical symmetries for superintegrable quantum systems
J. A. Calzada, J. Negro, M. A. del Olmo
We study the dynamical symmetries of a class of two-dimensional superintegrable systems on a 2-sphere, obtained by a procedure based on the Marsden-Weinstein reduction, by consider…
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…