On a Kubo-Martin-Schwinger state of the sine-Gordon system

DOI10.1007/BF01017033zbMath0591.35072OpenAlexW2042445454MaRDI QIDQ1074788

N. V. Peskov

Publication date: 1985

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017033

zbMATH Keywords

partition functionphase spacesine-Gordon equationHamiltonian systemstatistical mechanicsGaussian measureKubo-Martin-Schwinger condition

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (4)

An invariant measure for a nonlinear wave equation ⋮ Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ On the equivalence of the centered Gaussian measure in \(L_{2}\) with the correlation operator \(( \frac{-d^{2}}{dx^{2}})^{-1}\) and the conditional Wiener measure ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Properties of infinite dimensional Hamiltonian systems
• Stability, equilibrium and KMS for an infinite classical system

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