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Quantum n-Vector Anharmonic Crystal I: 1/n-Expansion

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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.

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Authors and Affiliations

  1. Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.¶E-mail: nangel@theor1.ifa.ro, Romania

    N. Angelescu

  2. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Leuven, Belgium. E-mail: andre.verbeure@fys.kuleuven.ac.be, Belgium

    A. Verbeure

  3. 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, France

    V. A. Zagrebnov

Authors
  1. N. Angelescu
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  2. A. Verbeure
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  3. V. A. Zagrebnov
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Received: 4 August 1998 / Accepted: 19 February 1999

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Angelescu, N., Verbeure, A. & Zagrebnov, V. Quantum n-Vector Anharmonic Crystal I: 1/n-Expansion. Commun. Math. Phys. 205, 81–95 (1999). https://doi.org/10.1007/s002200050668

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  • DOI: https://doi.org/10.1007/s002200050668

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