Lie algebras and Bohr-Sommerfeld conditions

Arnold Neumaier

I am looking for a source which explicitly states the relation
between the Bohr-Sommerfeld quantization conditions and the
integrality condition in the geometric quantization of Lie groups.

This relation is opften alluded to in the literature,
but I couldn't find a good discussion of it.

Any help is appreciated.


Arnold Neumaier

Zurab Silagadze

Mayby references 3, 4 and 5 in http://arxiv.org/abs/hep-th/0104256 (H.
Gopalkrishna Gadiyar, A fresh look at the Bohr-Rosenfeld analysis and
a proof of a conjecture of Heisenberg) will be of some help. Also
check the reference
http://arxiv.org/abs/math-ph/0208008 (W. G. Ritter, Geometric
Quantization)