Optimised mean fields for atoms. I. Mean-field methods for the description of N-fermion systems

authored by

K. Dietz, O. Lechtenfeld, G. Weymans

Abstract

Siegert's representation (1960) for the grand canonical partition function of a fermion system with two-particle interactions serves as a starting point for a perturbation expansion around stationary points. It is shown that, in general, the latter are given by solutions of the time-independent Hartree equation. Introducing more general random fields, exchange terms are obtained in the stationarity equation. The procedure is extended to relativistic systems. A perturbative expansion for e.g. the ground-state energy of the N-particle relativistic bound-state problem is obtained which allows, contrary to 'Hamiltonian methods', a straightforward application of standard regularisation and renormalisation procedures.

External Organisation(s)

University of Bonn

Type

Article

Journal

Journal of Physics B: Atomic and Molecular Physics

Volume

15

Pages

4301-4314

No. of pages

14

ISSN

0022-3700

Publication date

1982

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Electronic version(s)

https://doi.org/10.1088/0022-3700/15/23/013 (Access: Unknown)