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Communications in Mathematical Physics

, Volume 205, Issue 1, pp 81–95 | Cite as

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

  • N. Angelescu
  • A. Verbeure
  • V. A. Zagrebnov
Article

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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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • N. Angelescu
    • 1
  • A. Verbeure
    • 2
  • V. A. Zagrebnov
    • 3
  1. 1.Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.¶E-mail: nangel@theor1.ifa.roRomania
  2. 2.Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Leuven, Belgium. E-mail: andre.verbeure@fys.kuleuven.ac.beBelgium
  3. 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.frFrance

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