Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 233-242
Citer cet article
L. A. Pastur. Spectral theory of Kirkwood–Salzburg equations in a finite volume. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 233-242. http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/
@article{TMF_1974_18_2_a8,
author = {L. A. Pastur},
title = {Spectral theory of {Kirkwood{\textendash}Salzburg} equations in a~finite volume},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {233--242},
year = {1974},
volume = {18},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/}
}
TY - JOUR
AU - L. A. Pastur
TI - Spectral theory of Kirkwood–Salzburg equations in a finite volume
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1974
SP - 233
EP - 242
VL - 18
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/
LA - ru
ID - TMF_1974_18_2_a8
ER -
%0 Journal Article
%A L. A. Pastur
%T Spectral theory of Kirkwood–Salzburg equations in a finite volume
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 233-242
%V 18
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/
%G ru
%F TMF_1974_18_2_a8
The system of Kirkwood–Salzburg equations are studied for continuous and lattice systems in a finite volume. It is shown that the operator defined by this system of equations has a spectrum, when appropriately understood, that coincides with the set of numbers $\{z_i^{-1}\}$, $i=1,2,\dots$, where $z_i$ are the zeros of the partition function of the physical system under conside ration.
