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

Springer Science and Business Media LLC - Tập 205 - Trang 81-95 - 1999
N. Angelescu1, A. Verbeure2, V. A. Zagrebnov3
1Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.¶E-mail: [email protected], Romania
2Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Leuven, Belgium. E-mail: [email protected], Belgium
3Université de la Méditerranée and Centre de Physique Théorique, Luminy Case 907, F-13248 Marseille Cedex 9, France. E-mail: [email protected], France

Tóm tắt

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.