Three Solvable Many-Body Problems in the Plane

Author: Calogero, F.

Source: Acta Applicandae Mathematicae, Volume 51, Number 1, March 1998 , pp. 93-111(19)

Publisher: Springer

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Three solvable many-body problems in the plane are introduced. They are characterized by equations of motion of Newtonian type (‘mass times acceleration equals force’), and are solvable for an arbitrary number n of particles. The equations of motion are rotation-invariant. The forces are velocity-dependent. These models give rise to a rich phenomenology of motions, whose detailed exploration is postponed to future papers.

Keywords: solvable dynamical systems; solvable many-body problems

Document Type: Regular Paper

Affiliations: Dipartimento di Fisica, Universit√† di Roma I ‘La Sapienza’, 00185 Rome, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Rome, Italy

Publication date: March 1, 1998

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