87 citations · 308 across the 34 of their papers we have counts for
35 papers
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}…
Some aspects of positive kernel method of quantization
Anatol Odzijewicz, Maciej Horowski
We discuss various aspects of positive kernel method of quantization of the one-parameter groups $τ_t \in \mbox{Aut}(P,\vartheta)$ of automorphisms of a -principal bundle $P(G,π…
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…
Poisson geometrical aspects of the Tomita-Takesaki modular theory
Daniel Beltita, Anatol Odzijewicz
We investigate some genuine Poisson geometric objects in the modular theory of an arbitrary von Neumann algebra . Specifically, for any standard form realization $(\m…
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…
Perturbed -Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of
Anatol Odzijewicz
We study the regularized -Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of . The Kustaanheimo-Stiefel and Cayley…