Geodesic
On a Kubo–Martin–Schwinger state of the sine-Gordon system
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 32-40 
N. V. Peskov. On a Kubo–Martin–Schwinger state of the sine-Gordon system. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 32-40. http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a3/
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     title = {On {a~Kubo{\textendash}Martin{\textendash}Schwinger} state of the {sine-Gordon} system},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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