Titlebook: Geometric Methods in Physics; XXXII Workshop, Bia? Piotr Kielanowski,Pierre Bieliavsky,Theodore Voron Conference proceedings 2014 Springer

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A. K. Banerjee,A. Vanav Kumar,V. KumaranWe investigate the Hamiltonian systems defined by one-parameter deformation SO.(5) of the orthogonal Lie algebra S.(5). We discuss related symplectic dual pair. The possible physical applications are also discussed.

享樂主義者

Chaos Control and Synchronization,In this paper we develop a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu’s momentum map allow us to define a Poisson reduced space.

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Analysis of Nonlinear Optical Resonators,The goal of the present note based on [4] is a description of complex manifold structure of the groupoid . of partially invertible elements of .. We also describe Banach–Lie algebroid . of the groupoid

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Berezin Transform and a Deformation DecompositionWe present a new form for a deformation decomposition of the Berezin transform in polynomial quantization on para-Hermitian symmetric spaces. For rank one spaces, we write a full deformation decomposition explicitly

N斯巴達(dá)人

-ary Star Product: Construction and Integral RepresentationThis paper addresses a construction of an .-ary star product. Relevant identities are given. Besides, the formalism is illustrated by a computation of eigenvalues and eigenfunctions for a physical system of coupled oscillators in an .-dimensional phase space.

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Quantum Mechanics and Geometry on the Siegel–Jacobi DiskWe present some geometric properties of the Siegel–Jacobi disk . obtained using the coherent states attached to the Jacobi group ., where . is the Heisenberg group.

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Symplectic Dual Pair Related to Deformed SO(5)We investigate the Hamiltonian systems defined by one-parameter deformation SO.(5) of the orthogonal Lie algebra S.(5). We discuss related symplectic dual pair. The possible physical applications are also discussed.

強(qiáng)制令

Poisson ReductionIn this paper we develop a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu’s momentum map allow us to define a Poisson reduced space.