Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory

Details Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory Post-Wick theorems for symbolic manipulation of second-quantized expressions in atomic many-body perturbation theory

2009-10-19

arxiv.org/abs/0910.3613v1

J. Phys. B: At. Mol. Opt. Phys. 43 074001 (2010)

Physics

Atomic Physics

J. Phys. B. (in press); Mathematica packages available from http://wolfweb.unr.edu/homepage/andrei/WWW-tap/mathematica.html

Scientific paper

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.

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