Bohr-Sommerfeld Star Products

Details Bohr-Sommerfeld Star Products Bohr-Sommerfeld Star Products

2005-12-20

arxiv.org/abs/math/0512466v3

Mathematics

Quantum Algebra

15 pages, some statements added (section 4) or made more precise

Scientific paper

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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