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Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics
Authors:Yuri M Suhov
Institution:(1) Centre de Physique Theorique, CNRS, F-13274 Marseille, Cedex 2;(2) I.H.E.S., F-91440 Bures-sur-Yvette, France;(3) Istituto Matematico, Universita di Camerino, I-Camerino MC, Italy;(4) Present address: Institute for Problems of Information Transmission, USSR Academy of Sciences, 19, av. Yermolovoj, 103051 Moscow, USSR
Abstract:We prove the existence of the limit Gibbs state for one-dimensional continuous quantum fermion systems with non-hard-core, non-negative, rapidly decreasing pair interaction potentials. Existence of the limit Gibbs state is also established for one-dimensional continuous quantum boson systems with pair interaction potentials as above which, in addition, increase sufficiently fast at small distances.This work is partially performed with the support of the National Council of Researches of Italy
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