arXiv:2610.33040v1 Announce Type: new 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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