Geometric quantization

Mircea Puta

Norman E. Hurt

Jędrzej Śniatycki

Jerzy Kijowski

Nikolai Andreevich Tyurin

Dehai Bao, Z.Y. Zhu

Operator ordering problem in geometric quantization is investigated. While the quantum operator for given by geometric quantization is found to be ordered via the rule invariant under general coordinate transformations, it is shown that the quantum operators for where cannot be well-defined by geometric quantization. This is considered as a natural consequence of the coordinate-free nature of geometric quantization and the Van Hove's theorem.