146 citations · 847 across the 74 of their papers we have counts for
5 papers · 1 filter
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.
Lorentz-Invariant Interpretation of Noncommutative Space-Time - global version
P. Kosinski, P. Maslanka
The global version of the quantum symmetry defined by Chaichian et al (hep-th/0408069) is constructed.
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…
On noncommutative isotropic harmonic oscillator
Agnieszka Kijanka, Piotr Kosinski
Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied. It is shown that for a dense set of values of theta the spectrum is degenerate…