On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree
| dc.creator | Fidaleo, Francesco | |
| dc.creator | Mukhamedov, Farruh | |
| dc.date | 2004-11-09 | |
| dc.date.accessioned | 2026-07-07T05:14:07Z | |
| dc.date.available | 2026-07-07T05:14:07Z | |
| dc.description | In this paper we consider nearest neighbour models where the spin takes values in the set $Φ=\{\z_1,\z_2,...,\z_q\}$ and is assigned to the vertices of the Cayley tree ${\G}^k$. The Hamiltonian is defined by some given $λ$-function. We find a condition for the function $λ$ to determine the type of the von Neumann algebra generated by the GNS - construction associated with the quantum Markov state corresponding to the unordered phase of the $λ$-model. Also we give some physical applications of the obtained result. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411196 | |
| dc.identifier | http://arxiv.org/abs/math/0411196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73158 | |
| dc.subject | Operator Algebras | |
| dc.subject | Mathematical Physics | |
| dc.subject | 47A67; 47L90; 47N55; 82B20 | |
| dc.title | On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree | |
| dc.type | text |