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math-ph2012
Lie Algebra of Hamiltonian Vector Fields and the Poisson-Vlasov Equations
Oğul Esen, Hasan Gümral
We introduce natural differential geometric structures underlying the Poisson-Vlasov equations in momentum variables. We decompose the space of all vector fields over particle phas…
math-ph2010
Group of Canonical Diffeomorphisms and the Poisson-Vlasov Equations
Hasan Gümral
Dynamics of collisionless plasma described by the Poisson-Vlasov equations is connected with the Hamiltonian motions of particles and their symmetries. The Poisson equation is obta…