6 citations · 14 across the 5 of their papers we have counts for
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Integrable Hamiltonian systems on the symplectic realizations of
A. Odzijewicz, E. Wawreniuk
The phase space of a gyrostat with a fixed point and a heavy top is the Lie-Poisson space dual to the Lie algebra $\textbf{e}…
An integrable (classical and quantum) four-wave mixing Hamiltonian system
Anatol Odzijewicz, Elwira Wawreniuk
A four-wave mixing Hamiltonian system on the classical as well as on the quantum level is investigated. In the classical case, if one assumes the frequency resonance condition of t…
A family of integrable perturbed Kepler systems
Anatol Odzijewicz, Aneta Sliżewska, Elwira Wawreniuk
In the framework of the Poisson geometry of twistor space we consider a family of perturbed 3-dimensional Kepler systems. We show that Hamilton equations of this systems are integr…
Integrability and correspondence of classical and quantum non-linear three-mode system
A. Odzijewicz, E. Wawreniuk
The relationship between classical and quantum three one-mode systems interacting in a non-linear way is described. We investigate the integrability of these systems by using the r…
Classical and quantum Kummer shape algebras
A. Odzijewicz, E. Wawreniuk
We study a family of integrable systems of nonlinearly coupled harmonic oscillators on the classical and quantum levels. We show that the integrability of these systems follows fro…