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

B. Chakraborty J.-P. Gazeau 1 A. Youssef 2
1 APC - THEORIE
APC - UMR 7164 - AstroParticule et Cosmologie, Institut für theoretische Physik
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.
Type de document :
Pré-publication, Document de travail
10 pages, 1 figure. 2008
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http://hal.in2p3.fr/in2p3-00323546
Contributeur : Simone Lantz <>
Soumis le : jeudi 25 septembre 2008 - 16:34:23
Dernière modification le : mardi 11 octobre 2016 - 13:25:48

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  • HAL Id : in2p3-00323546, version 1
  • ARXIV : 0805.1847

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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>

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