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arXiv · 0805.1847

Coherent state quantization of angle, time, and more irregular functions and distributions

Biswajit Chakraborty·Jean Pierre Gazeau·Ahmed Youssef
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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.

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Biswajit Chakraborty, Jean Pierre Gazeau, Ahmed Youssef. 2008-12-03. Coherent state quantization of angle, time, and more irregular functions and distributions. https://arxiv.org/abs/0805.1847

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