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Autor:
S Twareque Ali, Gerard Gustav Emch, Anatol Odzijewicz, Martin Schlichenmaire, Stanislaw L Woronowicz
This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of J
Autor:
Anatol Odzijewicz, Maciej Horowski
We discuss various aspects of the positive kernel method of quantization of the one-parameter groups $$\tau _t \in \text{ Aut }(P,\vartheta )$$ τ t ∈ Aut ( P , ϑ ) of automorphisms of a G-principal bundle $$P(G,\pi ,M)$$ P ( G , π , M ) with a f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c86c77e1427a1a9fdc739c8e2966b86
http://arxiv.org/abs/2101.12536
http://arxiv.org/abs/2101.12536
Publikováno v:
Trends in Mathematics ISBN: 9783030340711
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::174f6594e9c8cc15775ae422803691de
https://doi.org/10.1007/978-3-030-34072-8_29
https://doi.org/10.1007/978-3-030-34072-8_29
Autor:
E. Wawreniuk, Anatol Odzijewicz
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6316a1a469a84c55df2c7046b98a790
Publikováno v:
Journal of Geometry and Physics. 123:385-423
In the framework of Banach differential geometry we investigate the fiber-wise linear Poisson structures as well as the Lie groupoid and Lie algebroid structures which are defined in the canonical way by the structure of a W ∗ -algebra (von Neumann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3307621d55721ec9f184cdef08ecea8
https://doi.org/10.1016/j.geomphys.2017.09.012
https://doi.org/10.1016/j.geomphys.2017.09.012
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::612c1e1ae37cdc86d4d08cf66eb6e992
http://arxiv.org/abs/1901.04048
http://arxiv.org/abs/1901.04048
Publikováno v:
Trends in Mathematics ISBN: 9783030340711
The Lagrangian approach to Geometric Quantization is based on realizing Lagrangian submanifolds of a given classical phase space as quantum states. Geometrically it is clear how the corresponding quantum dynamics can be derived, but the necessary mea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::611554273bca569d43b767ef6e71f138
https://doi.org/10.1007/978-3-030-34072-8_28
https://doi.org/10.1007/978-3-030-34072-8_28
Publikováno v:
Trends in Mathematics ISBN: 9783030340711
Trends in Mathematics
Trends in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fcf896a3b23ea5f4134e0193fff6f3e
https://doi.org/10.1007/978-3-030-34072-8_22
https://doi.org/10.1007/978-3-030-34072-8_22
Publikováno v:
Trends in Mathematics ISBN: 9783030340711
We consider weighted generalization of the Szego kernel. We show which conditions must a weight of integration satisfy in order for weighted Szego kernel to exist. Then we show some properties of weighted Szego kernel, including a direct formula for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::526244705b9d93233e0f4970ff897cbf
https://doi.org/10.1007/978-3-030-34072-8_23
https://doi.org/10.1007/978-3-030-34072-8_23