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Coherent state quantization of angle, time, and more irregular functions and distributions
B. Chakraborty, J.-P. Gazeau1, A. Youssef1
(2008)

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.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
APC - THEORIE
Physique/Physique des Hautes Energies - Théorie

Physique/Physique Quantique
Lien vers le texte intégral : 
http://fr.arXiv.org/abs/0805.1847