Geodesic
Kubo—Martin–Schwinger states of classical dynamical systems with infinite phase space
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 306-312 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An example of a classical dynamical system with infinite phase space that satisfies the analog of the Kubo–Martin–Schwinger conditions for classical dynamics is constructed explicitly. Attention is drawn to the connection between the constructed system and the representation of dynamics in a Fock space. 
@article{TMF_1979_38_3_a1,
     author = {A. A. Arsen'ev},
     title = {Kubo{\textemdash}Martin{\textendash}Schwinger states of classical dynamical systems with infinite phase space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {306--312},
     year = {1979},
     volume = {38},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a1/}
}
TY  - JOUR
AU  - A. A. Arsen'ev
TI  - Kubo—Martin–Schwinger states of classical dynamical systems with infinite phase space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 306
EP  - 312
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a1/
LA  - ru
ID  - TMF_1979_38_3_a1
ER  - 
%0 Journal Article
%A A. A. Arsen'ev
%T Kubo—Martin–Schwinger states of classical dynamical systems with infinite phase space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 306-312
%V 38
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a1/
%G ru
%F TMF_1979_38_3_a1
A. A. Arsen'ev. Kubo—Martin–Schwinger states of classical dynamical systems with infinite phase space. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 306-312. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a1/

[1] R. Haag, D. Kastler, E. B. Trych-Pohlmeyer, Commun. Math. Phys., 38 (1974), 173 | DOI | MR

[2] M. Aizenman, G. Galavotti, S. Goldstein, J. L. Lebowitz, Commun. Math. Phys., 48 (1967), 1 | DOI | MR

[3] J. L. Lebowitz, M. Aizenman, S. Goldstein, J. Math. Phys., 16 (1975), 1284 | DOI | MR

[4] G. Gallavotti, M. Pulvirenti, Commun. Math. Phys., 46 (1976), 1 | DOI | MR | Zbl

[5] J. V. Pulé, A. Verboven, J. Math. Phys., 18 (1977), 868 | DOI | MR

[6] P. R. Chernoff, Y. E. Marsden, Lect. Notes. Mathem., 425, 1974 | DOI | MR | Zbl

[7] I. Segal, Canad. J. Math., 13 (1961), 1 | DOI | MR | Zbl

[8] I. Segal, Bull. Amer. Math. Soc., 75 (1969), 1383 | DOI | MR | Zbl