Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Odzijewicz, Anatol"'
Autor:
Odzijewicz, Anatol, Horowski, Maciej
We discuss various aspects of positive kernel method of quantization of the one-parameter groups $\tau_t \in \mbox{Aut}(P,\vartheta)$ of automorphisms of a $G$-principal bundle $P(G,\pi,M)$ with a fixed connection form $\vartheta$ on its total space
Externí odkaz:
http://arxiv.org/abs/2101.12536
Autor:
Odzijewicz, Anatol, Wawreniuk, Elwira
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 the form $\omega_0 -\omega_1 +\omega_2 -\omega_3=0$, this Hamiltonian s
Externí odkaz:
http://arxiv.org/abs/2003.03060
Autor:
Beltita, Daniel, Odzijewicz, Anatol
We investigate some genuine Poisson geometric objects in the modular theory of an arbitrary von Neumann algebra $\mathfrak{M}$. Specifically, for any standard form realization $(\mathfrak{M},\mathcal{H},J,\mathcal{P})$, we find a canonical foliation
Externí odkaz:
http://arxiv.org/abs/1910.14466
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 integrated by quadratures. Their solutions for some subcases are given expli
Externí odkaz:
http://arxiv.org/abs/1901.04048
Autor:
Odzijewicz, Anatol
Publikováno v:
SIGMA 16 (2020), 087, 23 pages
We study the regularized $(2n-1)$-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of $U(n,n)$. The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed and their equivalence is shown
Externí odkaz:
http://arxiv.org/abs/1806.05912
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on
Externí odkaz:
http://arxiv.org/abs/1712.08420
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these structures are arranged in the short exact sequence of complex Banach sub-Po
Externí odkaz:
http://arxiv.org/abs/1703.01134
Publikováno v:
SIGMA 14 (2018), 005, 29 pages
We construct and investigate a short exact sequence of Poisson $\mathcal{VB}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our results include a description of the structure of the symplectic leaves of
Externí odkaz:
http://arxiv.org/abs/1506.03216
In the paper we study the algebroid A of the groupoid of partially invertible elements over the lattice of orthogonal projections of a $W^*$-algebra. In particular the complex analytic manifold structure of these objects is investigated. The expressi
Externí odkaz:
http://arxiv.org/abs/1401.0810
Autor:
Dobrogowska, Alina, Odzijewicz, Anatol
Publikováno v:
SIGMA 10 (2014), 056, 18 pages
We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces $\mathcal{L}_+(5)$ dual to Lie algebras $\mathfrak{so}_{\lambda, \alpha}(5)$ being two-parameter deformations of $\mathfrak{so}(5)$. We integrate corresponding Hamiltonia
Externí odkaz:
http://arxiv.org/abs/1311.0679