Europhys. Lett.
Volume 71, Number 4, August 2005
Page(s) 556 - 562
Section Nuclear physics
Published online 27 July 2005
Europhys. Lett., 71 (4), pp. 556-562 (2005)
DOI: 10.1209/epl/i2005-10134-y

Green function hierarchy for open shells

Ch. Brouder

Institut de Minéralogie et de Physique des Milieux Condensés, CNRS UMR 7590 Universités Paris 6 et 7, IPGP - case 115, 4 place Jussieu, 75252 Paris cedex 05, France

received 12 May 2005; accepted in final form 24 June 2005
published online 27 July 2005

In many systems containing open shell ions, the wave function of the ions cannot be described by a single Slater determinant. This invalidates standard many-body theory and requires the use of nonequilibrium quantum field theory with initial correlations. Quantum group techniques are used here to deal with this combinatorially complex theory. The hierarchy of interacting Green functions for general initial correlations is derived and the case of a system with two-particle correlations is treated in detail.

24.10.Cn - Many-body theory.
02.20.Uw - Quantum groups.

© EDP Sciences 2005