Abstract:
The Kubo–Martin–Schwinger state is constructed for a Hamiltonian dynamical system whose phase space is Hilbert space, with Hamiltonian representable as the sum of two terms: the square of the norm and a function that is smooth on the completion of the original space in the nuclear norm.
Bibliography: 5 titles.
Citation:
A. A. Arsen'ev, “On invariant measures for classical dynamical systems with infinite-dimensional phase space”, Math. USSR-Sb., 49:2 (1984), 291–303
P. E. Zhidkov, “Invariant measures generated by higher conservation laws for the Korteweg–de Vries equations”, Sb. Math., 187:6 (1996), 803–822
Zhidkov P., “On Invariant-Measures for Some Infinite-Dimensional Dynamical-Systems”, Ann. Inst. Henri Poincare-Phys. Theor., 62:3 (1995), 267–287
Zhidkov P., “An Invariant Measure for a Nonlinear-Wave Equation”, Nonlinear Anal.-Theory Methods Appl., 22:3 (1994), 319–325
I. D. Chueshov, “Structure of the equilibrium states of a class of dynamical systems associated with Lie–Poisson brackets”, Theoret. and Math. Phys., 75:3 (1988), 640–644
I. D. Chueshov, “Equilibrium statistical solutions for dynamical systems with an infinite number of degrees of freedom”, Math. USSR-Sb., 58:2 (1987), 397–406
N. V. Peskov, “On a Kubo–Martin–Schwinger state of the sine-Gordon system”, Theoret. and Math. Phys., 64:1 (1985), 666–672
Citation in format AMSBIB
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