Eur. Phys. J. B 56, 335-347 (2007)
https://doi.org/10.1140/epjb/e2007-00139-x

Composite boson dominance in many-fermion systems

INFN – Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati, Italy

Corresponding author: ^a fabrizio.palumbo@lnf.infn.it

Received: 17 November 2006
Revised: 8 February 2007
Published online: 24 May 2007

Abstract

I recently proposed a method of bosonization based on the use of coherent states of fermion composites, whose validity was restricted to smooth structure functions. In the present paper I remove this limitation and derive results which hold for arbitrary interactions and structure functions. The method respects all symmetries and in particular fermion number conservation. It reproduces exactly the results of the pairing model of atomic nuclei and of the BCS model of superconductivity in the number conserving form of the quasi-chemical equilibrium theory.