146 citations · 847 across the 74 of their papers we have counts for
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Symmetries and integrals of motion of a superintegrable deformed oscillator
Joanna Gonera, Artur Jasinski, Piotr Kosinski
The symmetry structure of twodimensional nonlinear isotropic oscillator, introduced in Physica D237 (2008) 505, is discussed. It is shown that it possesses three independent integr…
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…