A Solvable Many-Body Problem in the Plane
作者:
F. Calogero,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1998)
卷期:
Volume 5,
issue 3
页码: 289-293
ISSN:1402-9251
年代: 1998
DOI:10.2991/jnmp.1998.5.3.4
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A solvable many-body problem in the plane is exhibited. It is characterized by rotation-invariant Newtonian (“acceleration equal force”) equations of motion, featuring one-body (“external”) and pair (“interparticle”) forces. The former depend quadratically on the velocity, and nonlinearly on the coordinate, of the moving particle. The latter depend linearly on the coordinate of the moving particle, and linearly respectively nonlinearly on the velocity respectively the coordinate of the other particle. The model contains 2n2arbitrary coupling constants,nbeing the number of particles. The behaviour of the solutions is outlined; special cases in which the motion is confined (multiply periodic), or even completely periodic, are identified.
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