Eur. Phys. J. B 48, 469-481 (2005)
https://doi.org/10.1140/epjb/e2006-00007-3

How composite bosons really interact

Institut des Nanosciences de Paris, Université Pierre et Marie Curie and Université Denis Diderot, CNRS, Campus Boucicaut, 140 rue de Lourmel, 75015 Paris, France

Corresponding author: ^a monique.combescot@insp.jussieu.fr

Received: 20 May 2005
Revised: 24 November 2005
Published online: 19 January 2006

Abstract

The aim of this paper is to clarify the conceptual difference which exists between the interactions of composite bosons and the interactions of elementary bosons. A special focus is made on the physical processes which are missed when composite bosons are replaced by elementary bosons. Although what is here said directly applies to excitons, it is also valid for composite bosons in other fields than semiconductor physics. We, in particular, explain how the two elementary scatterings – Coulomb and Pauli – of our many-body theory for composite excitons, can be extended to a pair of fermions which is not an Hamiltonian eigenstate – as for example a pair of trapped electrons, of current interest in quantum information.