Koopman wavefunctions and Clebsch variables in Vlasov–Maxwell kinetic theory

@article{Tronci2021KoopmanWA,
  title={Koopman wavefunctions and Clebsch variables in Vlasov–Maxwell kinetic theory},
  author={Cesare Tronci and Ilon Joseph},
  journal={Journal of Plasma Physics},
  year={2021},
  volume={87}
}
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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