Koopman wavefunctions and Clebsch variables in Vlasov–Maxwell kinetic theory

  title={Koopman wavefunctions and Clebsch variables in Vlasov–Maxwell kinetic theory},
  author={Cesare Tronci and Ilon Joseph},
  journal={Journal of Plasma Physics},
Motivated by recent discussions on the possible role of quantum computation in plasma simulations, here, we present different approaches to Koopman's Hilbert-space formulation of classical mechanics in the context of Vlasov–Maxwell kinetic theory. The celebrated Koopman–von Neumann construction is provided with two different Hamiltonian structures: one is canonical and recovers the usual Clebsch representation of the Vlasov density, the other is non-canonical and appears to overcome certain… 
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  • R. Neiss
  • Mathematics
    Archive for Rational Mechanics and Analysis
  • 2018
In this paper, we study a Hamiltonian structure of the Vlasov–Poisson system, first mentioned by Fröhlich et al. (Commun Math Phys 288:1023–1058, 2009). To begin with, we give a formal guideline to
Quantization and unitary representations, In “Lectures in modern analysis and applications III”, 87–208
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