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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 83(125), Number 4(12), Pages 491–512 (Mi sm3524)

This article is cited in 7 papers

Limit density matrices for one-dimensional continuous systems in quantum statistical mechanics

Yu. M. Sukhov


Abstract: 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.

UDC: 519.2

MSC: 81Qxx, 82B10, 15A90

Received: 17.03.1970


 English version:
Mathematics of the USSR-Sbornik, 1970, 12:4, 489–510

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