35 citations · 84 across the 6 of their papers we have counts for
5 papers · 1 filter
Classical and quantum integrability in 3D systems
M. Gadella, J. Negro, G. P. Pronko +1
In this contribution, we discuss three situations in which complete integrability of a three dimensional classical system and its quantum version can be achieved under some conditi…
Classical and quantum three-dimensional integrable systems with axial symmetry
M. Gadella, J. Negro, G. P. Pronko
We study the most general form of a three dimensional classical integrable system with axial symmetry and invariant under the axis reflection. We assume that the three constants of…
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…
Anyons, group theory and planar physics
J. Negro, M. A. del Olmo, J. Tosiek
Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an in…
Discrete q-derivatives and symmetries of q-difference equations
D. Levi, J. Negro, M. A. del Olmo
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many of the properties conside…