SEPARATION OF MOTIONS OF MANY-BODY SYSTEMS INTO DYNAMICALLY INDEPENDENT PARTS BY PROJECTION ONTO EQUILIBRIUM VARIETIES IN PHASE SPACE. I.
BIRKBECK COLL LONDON (ENGLAND)
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In two papers of which this is the first the central concern is to draw conclusions about the over-all dynamical properties of a many-body system. This is done without trying to solve the equations of motion, but rather, on the basis of knowledge of oscillatory or collective variables or more generally, from the existence of conservation rules and of the uniform constants of the motion. The main result is that, corresponding to the collective coordinates or the uniform constants of the motion there exists a separation of the motions into two parts, one of which is collective or oscillatory, and regular, and the other of which is noncollective, nonoscillatory, and irregular.