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Bohr-Sommerfeld Star Products

2005/12/20 by Michael Carl, Carl, Michael
Mathematics · #53D12 #53Dxx #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0512466

openalex publication_date 2005/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We relate the Bohr-Sommerfeld conditions established in microlocal analysis 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 of L up to I-preserving equivalences.

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