Geodesic
On a~Kubo--Martin--Schwinger state of the sine-Gordon system
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 32-40

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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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     author = {N. V. Peskov},
     title = {On {a~Kubo--Martin--Schwinger} state of the {sine-Gordon} system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {32--40},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a3/}
}
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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/