Coherent State Quantization of Constraint Systems
摘要
A careful reexamination of the quantization of systems with first- and second-class constraints from the point of view of coherent-state phase-space path integration reveals several significant distinctions from more conventional treatments. Most significantly, we emphasize the importance of using path-integral measures for Lagrange multipliers which ensure that the quantum system satisfies the quantum constraint conditions. Our procedures involve no delta-functionals of the classical constraints, no need for gauge fixing of first-class constraints, no need to eliminate second-class constraints, no potentially ambiguous determinants, and have the virtue of resolving differences between canonical and path-integral approaches. Several examples are considered in detail.
引用
@article{arxiv.quant-ph/9604033,
title = {Coherent State Quantization of Constraint Systems},
author = {John R. Klauder},
journal= {arXiv preprint arXiv:quant-ph/9604033},
year = {2009}
}
备注
Latex, 38 pages, no figures