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

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

2008-05-13

arxiv.org/abs/0805.1847v2

Physics

Quantum Physics

22 pages, 5 figures

Scientific paper

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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