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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.
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Preprints, Working Papers, ...
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http://hal.in2p3.fr/in2p3-00323546
Contributor : Simone Lantz <>
Submitted on : Thursday, September 25, 2008 - 4:34:23 PM
Last modification on : Wednesday, October 21, 2020 - 4:32:15 PM

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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. 2008. ⟨in2p3-00323546⟩

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