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E(2)-covariant integral quantization of the motion on the circle and its classical limit

Conference paper
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Part of the Trends in Mathematics book series (TM)

Abstract

The present contribution is based on the work [1], where the motion of a particle on a circle is studied using the general method of covariant integral quantization of semi-direct product groups for the special case of E(2). We have added to the original work the analysis of the classical limit.

Keywords

Euclidean group Coherent states Covariant quantization Quan- tum angle Classical limit 

Mathematics Subject Classification (2000)

81R30 81S30 81S10 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Federal University of ABC (UFABC) Santo Andre - SP - BrasilSanto AndréBrazil
  2. 2.APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris-CitéParisFrance
  3. 3.Centro Brasileiro de Pesquisas Fisicas Rua Xavier SigaudRio de JaneiroBrazil

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