1110.3683 (Anatol Odzijewicz et al.)

Positive Kernels and Quantization    [PDF]

Anatol Odzijewicz, Maciej Horowski

In the paper we investigate a method of quantization based on the concept of positive definite kernel on a principal $G$-bundle with compact structural group G. For G=U(1) our approach leads to Kostant-Souriau geometric quantization as well as to coherent state method of quantization. So, the theory proposed here can be treated as a generalization of both mentioned quantizations to the case of general compact group.

View original: http://arxiv.org/abs/1110.3683