Colloquim

Stratified reduction of classical many-body systems with symmetry

山岡 英孝

10月25日(金)13時30分

After the review of the reduction of many-body systems with symmetry, I am to speak the consideration for their classical mechanics. The connection theory decomposes tangent space of center-of-mass system into vertical and horizontal subspaces by the rotation group. According as the decomposition, the metric and the kinetic energy are decomposed into rotational and vibrational parts. Then the angular momentum for the many-body systems is derived as canonical momentum in classical mechanics and expressed in terms of ``pseudo-velocities'', the time derivatives of ``pseudo-coordinates''. Thus it finds that if a many-body system takes a collinear configuration, then its angular momentum along the line vanishes. At the last, a three-body system is presented as example.

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