Large time behavior of classical \(N\)-body systems. (English) Zbl 0764.70004

Dereziński, Jan

Commun. Math. Phys. 148, No. 3, 503-520 (1992).

Asymptotic properties of solutions of \(N\)-body classical equations are studied. The method developed in quantum systems is applied to the classical case, and the result that every trajectory of an \(N\)-body system possesses an asymptotic velocity is obtained. The author proposes a definition of asymptotic completeness in the classical case and states that it is satisfied if potentials decay faster than any exponential.

Reviewer: Liu Yanzhu (Shanghai)

MSC:

70F10

\(n\)-body problems

Keywords:

decay of potential; quantum systems; asymptotic velocity; asymptotic completeness

References:

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