Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations
量子物理
2007-05-23 v2
摘要
Coherent state theory is shown to reproduce three categories of representations of the spectrum generating algebra for an algebraic model: (i) classical realizations which are the starting point for geometric quantization; (ii) induced unitary representations corresponding to prequantization; and (iii) irreducible unitary representations obtained in geometric quantization by choice of a polarization. These representations establish an intimate relation between coherent state theory and geometric quantization in the context of induced representations.
引用
@article{arxiv.quant-ph/0201129,
title = {Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations},
author = {Stephen D. Bartlett and David J. Rowe and Joe Repka},
journal= {arXiv preprint arXiv:quant-ph/0201129},
year = {2007}
}
备注
29 pages, part 1 of two papers, published version