Geometric Quantization on a Coset Space G/H
高能物理 - 理论
2009-10-30 v1
摘要
Geometric quantization on a coset space is considered, intending to recover Mackey's inequivalent quantizations. It is found that the inequivalent quantizations can be obtained by adopting the symplectic 2-form which leads to Wong's equation. The irreducible representations of which label the inequivalent quantizations arise from Weil's theorem, which ensures a Hermitian bundle over to exist.
引用
@article{arxiv.hep-th/9610047,
title = {Geometric Quantization on a Coset Space G/H},
author = {Masaomi Kimura},
journal= {arXiv preprint arXiv:hep-th/9610047},
year = {2009}
}
备注
12 pages, LateX2e