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

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


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.


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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