A Pair Hamiltonian Model of a Non-ideal Boson Gas

Pulé, J. V. and Zagrebnov, V. A. (1992) A Pair Hamiltonian Model of a Non-ideal Boson Gas. (Preprint)

Text DIAS-STP-92-20.pdf Download (1MB)

Abstract

The pressure in the thermodynamic limit of a non-ideal Boson gas whose Hamiltonian includes only diagonal and pairing terms can be expressed as the infimum of a functional depending on two measures on momentum space: a positive measure describing the particle density and a complex measure describing the pair density. In this paper we examine this variational problem with the object of determining when the model exhibits Bose-Einstein condensation. In addition we show that if the pairing term in the Hamiltonian is positive then it has no effect.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:12
Last Modified:	15 Dec 2022 14:32
URI:	https://dair.dias.ie/id/eprint/732

Actions (login required)

View Item

Downloads