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.
http://hal.in2p3.fr/in2p3-00323546
Contributeur : Simone Lantz
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Soumis le : jeudi 25 septembre 2008 - 16:34:23
Dernière modification le : vendredi 4 janvier 2019 - 17:33:35
B. Chakraborty, J.-P. Gazeau, A. Youssef. Coherent state quantization of angle, time, and more irregular functions and distributions. 10 pages, 1 figure. 2008. 〈in2p3-00323546〉
