Geodesic
Invariant states for the time dynamics of a~class of multidimensional lattice quantum Fermi systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 76-83

Voir la notice de l'article provenant de la source Math-Net.Ru

The study of invariant states of fermionic lattice systems begun earlier is contined. Under the assumption that the time dynamics corresponds to a (formal) Hamiltonian $H_0$ and the invariant state $\varphi$ is a KMS state for some Hamiltonian $H$ [1], one-dimensional lattice Fermi systems were considered in the earlier work. In particular, the case when $H_0$ is not a quadratic form in the creation and annihilation operators and all nonquadratic terms in $H_0$ are diagonal was studied. In this case, it was shown that up to an arbitrary diagonal quadratic form $N$ the Hamiltonian $H$ is proportional to $H_0$, i. e., that $\varphi$ is a KMS state of $\beta H_0+ N$. In this paper, we obtain a similar result for Fermi systems of arbitrary dimension by a somewhat different method to the one used earlier [1]. 
@article{TMF_1993_94_1_a5,
     author = {N. E. Ratanov and Yu. M. Sukhov},
     title = {Invariant states for the time dynamics of a~class of multidimensional lattice quantum {Fermi} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {76--83},
     publisher = {mathdoc},
     volume = {94},
     number = {1},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a5/}
}
TY  - JOUR
AU  - N. E. Ratanov
AU  - Yu. M. Sukhov
TI  - Invariant states for the time dynamics of a~class of multidimensional lattice quantum Fermi systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 76
EP  - 83
VL  - 94
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a5/
LA  - ru
ID  - TMF_1993_94_1_a5
ER  - 
%0 Journal Article
%A N. E. Ratanov
%A Yu. M. Sukhov
%T Invariant states for the time dynamics of a~class of multidimensional lattice quantum Fermi systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 76-83
%V 94
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a5/
%G ru
%F TMF_1993_94_1_a5
N. E. Ratanov; Yu. M. Sukhov. Invariant states for the time dynamics of a~class of multidimensional lattice quantum Fermi systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 76-83. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a5/