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Asymptotically Additive Integrals of Motion for Particles with Nonpairwise interaction in Dimension Oneстатья
- Автор: Gurevich B.M.
- Сборник: Advances in Soviet Mathematics
- Серия: Probability Contributions in Statistical Mechanics
- Том: 20
- Год издания: 1994
- Место издания: Amer. Math. Soc Providence, RI, USA
- Первая страница: 221
- Последняя страница: 275
- Аннотация: A system of particles with translation invariant interaction in dimension one is considered. It is proved that if the interaction potential is a sum of a two-particle function and a three-particle one, then all the asymptotically additive integrals of motion for such a system are linear combinations of classical integrals of motion. It was known previously that this is untrue if there is only a pairwise interaction.
- Добавил в систему: Гуревич Борис Маркович