Convergence to an equilibrium state for a~one-dimensional quantum system of hard rods
Izvestiya. Mathematics , Tome 21 (1983) no. 3, pp. 547-583
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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.
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@article{IM2_1983_21_3_a5,
author = {Yu. M. Sukhov},
title = {Convergence to an equilibrium state for a~one-dimensional quantum system of hard rods},
journal = {Izvestiya. Mathematics },
pages = {547--583},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {1983},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1983_21_3_a5/}
}
Yu. M. Sukhov. Convergence to an equilibrium state for a~one-dimensional quantum system of hard rods. Izvestiya. Mathematics , Tome 21 (1983) no. 3, pp. 547-583. http://geodesic.mathdoc.fr/item/IM2_1983_21_3_a5/