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

  • Rodrigo Fresneda
  • Jean Pierre Gazeau
  • Diego Noguera
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 81S3 81S10. 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Rodrigo Fresneda
    • 1
  • Jean Pierre Gazeau
    • 2
  • Diego Noguera
    • 3
  1. 1.Federal University of ABC (UFABC) Santo Andr_ - SP - Brasil.Rio de JaneiroBrazil
  2. 2.APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris-Cit_ 75205 Paris, France and Centro Brasileiro de Pesquisas Fisicas Rua Xavier Sigaud 150Rio de JaneiroPoland
  3. 3.Department of Mathematics and StatisticsBoston UniversityRio de JaneiroUSA

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