2 citations · 2 across the 2 of their papers we have counts for
5 papers
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.
More about generalized maximally superintegrable systems of Winternitz type
Cezary Gonera
Recently proposed procedure of constructing maximally superintegrable systems of Winternitz type is further developed and illustrated by an example of system admitting an explicit…
Non-commutative 4-spheres based on all Podleś 2-spheres and beyond
Tomasz Brzezinski, Cezary Gonera
A wide class of noncommutative spaces, including 4-spheres based on all the quantum 2-spheres and suspensions of matrix quantum groups is described. For each such space a noncommut…
On the Calogero model with negative harmonic term
C. Gonera, M. Majewski, P. Maślanka
The Calogero model with negative harmonic term is shown to be equivalent to the set of negative harmonic oscillators. Two time-independent canonical transformations relating both m…
Galilean invariance in 2+1 dimensions
Y. Brihaye, C. Gonera, S. Giller +1
The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representat…