46 citations · 290 across the 31 of their papers we have counts for
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More on superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera, Javier de Lucas +2
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of the…
Symmetry algebras for superintegrable systems
C. Gonera, P. Kosinski, M. Majewski +1
It is shown that the symmetry algebra of quantum superintegrable system can be always chosen to be u(N),N being the number of degrees of freedom.
Quadratic integrals of motion for the systems of identical particles
Y. Brihaye, C. Gonera, P. Kosinski +2
The dynamical systems of identical particles admitting quadratic integrals of motion are classified. The relevant integrals are explicitly constructed and their relation to separat…
Quadratic integrals of motions for the systems of identical particles-quantum case
Y. Brihaye, C. Gonera, P. Kosinski +2
The quantum dynamical systems of identical particles admitting an additional integral quadratic in momenta are considered. It is found that an appropriate ordering procedure exists…
Superintegrable Calogero-type systems admit maximal number of Poisson structures
C. Gonera, Y. Nutku
We present a general scheme for constructing the Poisson structure of super-integrable dynamical systems of which the rational Calogero-Moser system is one of the most interesting…