Minimal Coupling in Koopman–von Neumann Theory

@article{Gozzi2002MinimalCI,
  title={Minimal Coupling in Koopman–von Neumann Theory},
  author={Ennio Gozzi and D. Mauro},
  journal={Annals of Physics},
  year={2002},
  volume={296},
  pages={152-186}
}
Abstract Classical mechanics (CM), like quantum mechanics (QM), can have an operatorial formulation. This was pioneered by Koopman and von Neumann (KvN) in the 1930s. They basically formalized, via the introduction of a classical Hilbert space, earlier work of Liouville who had shown that the classical time evolution can take place via an operator, nowadays known as the Liouville operator. In this paper we study how to perform the coupling of a point particle to a gauge field in the KvN version… 

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