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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 1, Pages 32–40
(Mi tmf4899)
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This article is cited in 2 scientific papers (total in 2 papers)
On a Kubo–Martin–Schwinger state of the sine-Gordon system
N. V. Peskov
Abstract:
The sine-Gordon equation on a finite interval is considered as a Hamiltonian system.
A Gaussian measure is defined on an extension of the phase space. It is shown that
the partition function $Z$ employed in the statistical mechanics of the solitons is an
integral with respect to this measure. An algebra of observables is defined and on
it a state is constructed which satisfies the Kubo–Martin–Schwinger condition.
Received: 18.04.1984
Citation:
N. V. Peskov, “On a Kubo–Martin–Schwinger state of the sine-Gordon system”, TMF, 64:1 (1985), 32–40; Theoret. and Math. Phys., 64:1 (1985), 666–672
Linking options:
https://www.mathnet.ru/eng/tmf4899 https://www.mathnet.ru/eng/tmf/v64/i1/p32
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