Calogero-Moser Integrable Particles
N particles on a line with 1/r² repulsion — completely integrable dynamics
The Calogero-Moser system is completely integrable: N particles on a line governed by H = ½Σpᵢ² + g²Σᵢ≠ⱼ 1/(xᵢ−xⱼ)².
The 1/r² repulsion prevents particles from ever crossing — watch the trajectories weave without colliding.
N conserved quantities, exactly solvable via the Lax pair. Arrows show instantaneous velocities.