scholarly journals Poisson geometry and deformation quantization near a strictly pseudoconvex boundary

2007 ◽  
pp. 681-704 ◽  
Author(s):  
Eric Leichtnam ◽  
Xiang Tang ◽  
Alan Weinstein
Keyword(s):  
Deformation Quantization ◽  
Poisson Geometry ◽  
Pseudoconvex Boundary

Geometry and Physics: Volume II

2018 ◽  
Keyword(s):  
Moduli Spaces ◽  
Mirror Symmetry ◽  
Geometric Analysis ◽  
Mathematical Physics ◽  
Poisson Geometry ◽  
Special Holonomy ◽  
Low Dimensional Topology ◽  
Generalized Complex Structures ◽  
Wide Range ◽  
Low Dimensional

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and Savilian Professor of Geometry at Oxford. The proceedings contain twenty-nine articles, including three by Fields medallists (Donaldson, Mori and Yau). The articles cover a wide range of topics in geometry and mathematical physics, including the following: Riemannian geometry, geometric analysis, special holonomy, integrable systems, dynamical systems, generalized complex structures, symplectic and Poisson geometry, low-dimensional topology, algebraic geometry, moduli spaces, Higgs bundles, geometric Langlands programme, mirror symmetry and string theory. These volumes will be of interest to researchers and graduate students both in geometry and mathematical physics.

scholarly journals DEFORMATION QUANTIZATION OF THE ISOTROPIC ROTATOR

1995 ◽  
Vol 10 (05) ◽  
pp. 399-407 ◽  
Author(s):  
A. STERN ◽  
I. YAKUSHIN
Keyword(s):  
Energy Spectrum ◽  
Quantum System ◽  
Chiral Symmetry ◽  
Deformation Quantization ◽  
Rigid Rotator

We perform a deformation quantization of the classical isotropic rigid rotator. The resulting quantum system is not invariant under the usual SU (2) × SU (2) chiral symmetry, but instead [Formula: see text]. We give the energy spectrum for the resulting system.

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