PROOF OF THE VARIATIONAL PRINCIPLE FOR A PAIR HAMILTONIAN BOSON MODEL

Author:

PULÉ JOSEPH V.1,ZAGREBNOV VALENTIN A.2

Affiliation:

1. School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

2. Université de la Méditerranée and Centre de Physique Théorique, Luminy-Case 907, 13288 Marseille, Cedex 09, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference40 articles.

1. E. H. Lieb, The Bose Fluid, Lectures in Theoretical Physics VII C, ed. W. E. Brittin (The University of Colorado Press, Boulder, 1965) pp. 175–224.

2. The Bogoliubov model of weakly imperfect Bose gas

3. The approximating Hamiltonian method for the imperfect boson gas

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