A note on the many-body perturbation theory

The conventional many-body perturbation theory suffers from three major ills: (i) some terms in the perturbation series may be unbounded; (ii) the series as a whole may not have a limit and (iii) despite convergence,the calculated limit may be false ('bogus' convergence). In renormalizable...

Full description

Saved in:
Bibliographic Details
Published in:Philosophical magazine letters 1999-08, Vol.79 (8), p.581-593
Main Author: Farid, Behnam
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Excited states and pairing interactions in model systems
Physics
Theories and models of many electron systems
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The conventional many-body perturbation theory suffers from three major ills: (i) some terms in the perturbation series may be unbounded; (ii) the series as a whole may not have a limit and (iii) despite convergence,the calculated limit may be false ('bogus' convergence). In renormalizable field theories, as the name indicates, problem (i) can be bypassed. Problems (ii) and (iii) remain. Here we demonstrate that these two problems can also be resolved, by choosing an appropriate Kohn-Sham Hamiltonian as the 'unperturbed' Hamiltonian. For this to be possible, some pertinent ground-state densities must be pure-state non-interacting v-representable. We illustrate our findings by means of two examples.
ISSN:0950-0839
1362-3036
DOI:10.1080/095008399176968