[États d'équilibre d'un cristal quantique unidimensionnel]
Nous construisons des états d'équilibre sur une C★ algèbre associée à un cristal quantique unidimensionnel. Nous étudions la valeur moyenne d'une observable, non nécessairement bornée, telle que le coefficient de dilatation. Ceci demande, d'une part, une analyse précise du noyau de la chaleur associé au cristal et, d'autre part, l'étude des corrélations quantiques de deux observables associés a deux amas de particules.
We construct states on a C★-algebra associated to a one dimensional lattice crystal. We also compute the mean value of an observable, not necessarily bounded, such as the dilation coefficient. This implies on one hand, a careful analysis of the heat kernel of the Hamiltonian associated to the crystal and, on the other hand, the study of the quantum correlations of two observables associated to two clusters of particules.
Accepté le :
Publié le :
Laurent Amour 1 ; Claudy Cancelier 1 ; Pierre Levy-Bruhl 1 ; Jean Nourrigat 1
@article{CRMATH_2003__336_12_981_0,
author = {Laurent Amour and Claudy Cancelier and Pierre Levy-Bruhl and Jean Nourrigat},
title = {States of a one dimensional quantum crystal},
journal = {Comptes Rendus. Math\'ematique},
pages = {981--984},
publisher = {Elsevier},
volume = {336},
number = {12},
year = {2003},
doi = {10.1016/S1631-073X(03)00229-2},
language = {en},
}
TY - JOUR AU - Laurent Amour AU - Claudy Cancelier AU - Pierre Levy-Bruhl AU - Jean Nourrigat TI - States of a one dimensional quantum crystal JO - Comptes Rendus. Mathématique PY - 2003 SP - 981 EP - 984 VL - 336 IS - 12 PB - Elsevier DO - 10.1016/S1631-073X(03)00229-2 LA - en ID - CRMATH_2003__336_12_981_0 ER -
Laurent Amour; Claudy Cancelier; Pierre Levy-Bruhl; Jean Nourrigat. States of a one dimensional quantum crystal. Comptes Rendus. Mathématique, Volume 336 (2003) no. 12, pp. 981-984. doi : 10.1016/S1631-073X(03)00229-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00229-2/
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