Concentration of cylindrical Wigner measures

@article{Falconi2018ConcentrationOC,
  title={Concentration of cylindrical Wigner measures},
  author={Marco Falconi},
  journal={Communications in Contemporary Mathematics},
  year={2018}
}
  • M. Falconi
  • Published 25 April 2017
  • Mathematics
  • Communications in Contemporary Mathematics
In this paper, we aim to characterize the cylindrical Wigner measures associated to regular quantum states in the Weyl C*-algebra of canonical commutation relations. In particular, we provide conditions at the quantum level sufficient to prove the concentration of all the corresponding cylindrical Wigner measures as Radon measures on suitable topological vector spaces. The analysis is motivated by variational and dynamical problems in the semiclassical study of bosonic quantum field theories. 

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