Large time behavior of classical \(N\)-body systems
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.
scientific article; zbMATH DE number 95392
scientific article