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arxiv: math-ph/0702091 · v1 · submitted 2007-02-27 · 🧮 math-ph · math.MP

Goldfish geodesics and Hamiltonian reduction of matrix dynamics

classification 🧮 math-ph math.MP
keywords dynamicsmatrixeigenvaluefreegeodesicgeodesicsgivegoldfish
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We relate free vector dynamics to the eigenvalue motion of a time-dependent real-symmetric NxN matrix, and give a geodesic interpretation to Ruijsenaars Schneider models.

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