Bohr-Sommerfeld star products

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Carl, Michael

关键词: Bohr-Sommerfeld conditions;    deformation quantization;    adapted star product;    star representation;    Lagrangian submanifold;    integrable system;    Maslov index;   

DOI  :  10.1016/j.geomphys.2008.01.002

来源: Elsevier

【 摘 要 】

We relate the Bohr-Sommerfeld conditions to formal deformation quantization of symplectic manifolds by classifying star products adapted to some Lagrangian submanifold L, i.e. products preserving the classical vanishing ideal I-L of L up to I-L-preserving equivalences. (C) 2008 Elsevier B.V. All rights reserved.

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