Proof of the Variational Principle for a Pair Hamiltonian Boson Model

Valentin A. Zagrebnov (1, 2) , Joseph V. Pulé (3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 School of Mathematical Sciences [Dublin]

We give a two parameter variational formula for the grand-canonical pressure of the Pair Boson Hamiltonian model. By using the Approximating Hamiltonian Method we provide a rigorous proof of this variational principle.

Mots clés: Pair Boson Hamiltonian; Approximating Hamiltonian method; generalized Bose-Einstein condensation

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Valentin A. Zagrebnov, Joseph V. Pulé. Proof of the Variational Principle for a Pair Hamiltonian Boson Model. Reports on Mathematical Physics, 2007, 19 (2), pp.157-194. ⟨10.1142/S0129055X07002924⟩. ⟨hal-00021703⟩