Quantum n-Vector Anharmonic Crystal I: 1/n-Expansion |
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Authors: | N Angelescu A Verbeure V A Zagrebnov |
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Institution: | Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.?E-mail: nangel@theor1.ifa.ro, RO Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Leuven, Belgium. E-mail: andre.verbeure@fys.kuleuven.ac.be, BE Université de la Méditerranée and Centre de Physique Théorique, Luminy Case 907, F-13248 Marseille Cedex 9, France. E-mail: zagrebnov@cpt.univ-mrs.fr, FR
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Abstract: | We consider the finite-volume quantum n-vector anharmonic crystal in the large n limit and compute corrections to the corresponding Hartree–Fock system. In particular we prove the complete 1/n-asymptotic series of the free energy, the Gibbs canonical state, and the distributions of the displacement and squared displacement
fluctuation operators.
Received: 4 August 1998 / Accepted: 19 February 1999 |
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