This article is cited in 2 papers

Convergence to an equilibrium state for a one-dimensional quantum system of hard rods

Yu. M. Sukhov


Abstract: In this paper a theorem is proved on the convergence to an equilibrium state during the course of the time evolution of an infinite, one-dimensional system of quantum particles interacting by means of a “hard-rod” potential. The basic idea consists in the reduction of the time evolution of the system of hard rods to the time evolution of free particles. The case of free motion was studied earlier by O. Lanford and D. Robinson.
Bibliography: 23 titles.

UDC: 517.958+517.986

MSC: Primary 82A15; Secondary 81E05

Received: 07.01.1982

 English version: Mathematics of the USSR-Izvestiya, 1983, 21:3, 547–583

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