On Boltzmann's $H$-theorem
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 425-429
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Sufficient conditions are found directly for a quantum dynamical system on the basis of which a proof of Boltzmann's $H$-theorem is given. At the same time it is shown that in the general case for sufficiently long times (near equilibrium) the entropy production is of variable sign.
@article{TMF_1978_35_3_a16,
author = {L. A. Khalfin},
title = {On {Boltzmann's} $H$-theorem},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {425--429},
publisher = {mathdoc},
volume = {35},
number = {3},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a16/}
}
L. A. Khalfin. On Boltzmann's $H$-theorem. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 425-429. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a16/