PreprintarXiv licencearXiv
On the Energy Minimizing Problem in Plasma Dynamics
Abstract
A fundamental question in plasma physics and its applications to fusion theory is to find minimum energy stares of plasma.. Hong Qin has suggested the use of what he calls "Gromov ground states" which take into account the phenomenon of symplectic rigidity, as opposed to Gardner's classical approach which only use volume-preserving diffeomorphisms. Howev4er Qin's approach leads to topological difficulties because his constructions remain in the classical (Hamiltonian) domain. We circumvent these difficulties by introducing a quantum-mechanical formulation of the problem, based on the Wigner transform and the symplectic geometry of Gaussian state
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BibTeX
@misc{gosson2026energy,
title = {{On the Energy Minimizing Problem in Plasma Dynamics}},
author = {Maurice de Gosson},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33040},
eprint = {2610.33040},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33040},
}
RIS
TY - UNPB
TI - On the Energy Minimizing Problem in Plasma Dynamics
AU - Maurice de Gosson
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.33040
UR - https://arxiv.org/abs/2610.33040
AB - A fundamental question in plasma physics and its applications to fusion theory is to find minimum energy stares of plasma.. Hong Qin has suggested the use of what he calls "Gromov ground states" which take into account the phenomenon of symplectic rigidity, as opposed to Gardner's classical approach which only use volume-preserving diffeomorphisms. Howev4er Qin's approach leads to topological difficulties because his constructions remain in the classical (Hamiltonian) domain. We circumvent these difficulties by introducing a quantum-mechanical formulation of the problem, based on the Wigner transform and the symplectic geometry of Gaussian state
ER -