Cylindrical Wigner Measures

@article{Falconi2016CylindricalWM,
  title={Cylindrical Wigner Measures},
  author={Marco Falconi},
  journal={Documenta Mathematica},
  year={2016}
}
  • M. Falconi
  • Published 16 May 2016
  • Mathematics
  • Documenta Mathematica
In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective. The aim is to provide a unified and flexible approach to the semiclassical analysis of bosonic systems. We also give a detailed overview of possible applications of this approach to mathematical problems of both axiomatic relativistic quantum field theories and nonrelativistic many body systems. If the theory has infinitely many degrees of… 
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Concentration of cylindrical Wigner measures

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  • 2018
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…

Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

Magnetic Schrödinger operators as the quasi-classical limit of Pauli–Fierz-type models

We study the quasi-classical limit of the Pauli-Fierz model: the system is composed of finitely many non-relativistic charged particles interacting with a bosonic radiation field. We trace out the…

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