Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory
Atomic Physics
2015-05-14 v1 Chemical Physics
Abstract
Manipulating expressions in many-body perturbation theory becomes unwieldily with increasing order of the perturbation theory. Here I derive a set of theorems for efficient simplification of such expressions. The derived rules are specifically designed for implementing with symbolic algebra tools. As an illustration, we count the numbers of Brueckner-Goldstone diagrams in the first several orders of many-body perturbation theory for matrix elements between two states of a mono-valent system.
Keywords
Cite
@article{arxiv.0910.3613,
title = {Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory},
author = {Andrei Derevianko},
journal= {arXiv preprint arXiv:0910.3613},
year = {2015}
}
Comments
J. Phys. B. (in press); Mathematica packages available from http://wolfweb.unr.edu/homepage/andrei/WWW-tap/mathematica.html