Limit density matrices for one-dimensional continuous systems in~quantum statistical mechanics
Sbornik. Mathematics, Tome 12 (1970) no. 4, pp. 489-510
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The existence of limit density matrices is proved for one-dimensional continuous quantum systems whose interaction satisfies certain natural conditions (finiteness and the existence of a hard core). The basic apparatus used is a modification of the well-known transfer-matrix method.
Bibliography: 12 titles.
@article{SM_1970_12_4_a0,
author = {Yu. M. Sukhov},
title = {Limit density matrices for one-dimensional continuous systems in~quantum statistical mechanics},
journal = {Sbornik. Mathematics},
pages = {489--510},
publisher = {mathdoc},
volume = {12},
number = {4},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_12_4_a0/}
}
Yu. M. Sukhov. Limit density matrices for one-dimensional continuous systems in~quantum statistical mechanics. Sbornik. Mathematics, Tome 12 (1970) no. 4, pp. 489-510. http://geodesic.mathdoc.fr/item/SM_1970_12_4_a0/