Prequantization of the rotational motion. (English) Zbl 1070.53504

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 2nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 7–15, 2000. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-2-5/pbk). 245-253 (2001).
Summary: The classical problem of a free rigid body motion is considered within the Kostant-Souriau prequantization program supplemented by the semi-classical Bohr-Sommerfeld quantization rules. The results are two implicit formulae for the energy spectrum which are valid in some intervals defined by the total angular momentum.
For the entire collection see [Zbl 0957.00038].


53D50 Geometric quantization