Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.
Calogero,Solution of the one-dimensional N-body problems with quadratic and/or in- versely quadratic pair potentials, J
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The Hamiltonian formulation of continuum Calogero-Moser models
Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.