Dependence of reduced density matrices on the boundary conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 85-101
Cet article a éte moissonné depuis la source Math-Net.Ru
The influence of non-null boundary conditions on the reduced density matrix is studied for a system In a finite region. The dependence of the solutions of the Salzburg–Kirkwood integral equations on the given boundary conditions is investigated.
@article{TMF_1972_10_1_a7,
author = {K. S. Matviichuk},
title = {Dependence of reduced density matrices on the boundary conditions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {85--101},
year = {1972},
volume = {10},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a7/}
}
K. S. Matviichuk. Dependence of reduced density matrices on the boundary conditions. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 85-101. http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a7/
[1] N. N. Bogolyubov, B. I. Khatset, DAN SSSR, 66 (1949), 321 | MR | Zbl
[2] N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, TMF, 1 (1969), 251
[3] D. Ruelle, Ann. of Phys., 25 (1963), 109 | DOI | MR
[4] D. Ruelle, Helv. Phys. Acta, 36 (1963), 789 | MR | Zbl
[5] J. Ginibre, Math. Phys., 6 (1965), 238 | DOI | MR | Zbl
[6] I. D. Novikov, Funktsionalnyi analiz i ego prilozheniya, 3:1 (1969), 71 | MR | Zbl
[7] E. Nelson, J. Math. Phys., 5 (1964), 332 | DOI | MR | Zbl
[8] R. Kurant, D. Gilbert, Metody matematicheskoi fiziki, t. 1, 2, Gostekhizdat, 1951
[9] T. Khill, Statisticheskaya mekhanika, IL, 1960
[10] K. Iosida, Funktsionalnyi analiz, «Mir», 1967 | MR
[11] F. Riss, B. S. Nad, Lektsii po funktsionalnomu analizu, IL, 1954 | MR