Coherent state quantization of angle, time, and more irregular functions and distributions
Quantum Physics
2008-12-03 v2 High Energy Physics - Theory
Abstract
The domain of application of quantization methods is traditionally restricted to smooth classical observables. We show that the coherent states or "anti-Wick" quantization enables us to construct fairly reasonable quantum versions of irregular observables living on the classical phase space, such as the angle function, the time function of a free particle and even a large set of distributions comprising the tempered distributions.
Cite
@article{arxiv.0805.1847,
title = {Coherent state quantization of angle, time, and more irregular functions and distributions},
author = {Biswajit Chakraborty and Jean Pierre Gazeau and Ahmed Youssef},
journal= {arXiv preprint arXiv:0805.1847},
year = {2008}
}
Comments
22 pages, 5 figures