Positive kernels and quantization

JOURNAL OF GEOMETRY AND PHYSICS

卷:63

Article

Odzijewicz, Anatol¹  Horowski, Maciej¹ 

[1] Univ Bialystok, Inst Math, PL-15424 Bialystok, Poland

关键词: Positive definite kernels;    Quantization;    Coherent state method;   

DOI  :  10.1016/j.geomphys.2012.09.010

来源: Elsevier

【 摘 要 】

In this paper, we investigate a method of quantization based on the concept of positive definite kernels 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 the coherent state method of quantization. So, the theory proposed here can be treated as a generalization of both mentioned quantizations to the case of a general compact group. (c) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free