English

Bohr-Sommerfeld Star Products

Quantum Algebra 2007-11-19 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0512466,
  title  = {Bohr-Sommerfeld Star Products},
  author = {Michael Carl},
  journal= {arXiv preprint arXiv:math/0512466},
  year   = {2007}
}

Comments

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