Friedrichs Diagrams -- Bosonic and Fermionic
Mathematical Physics
2024-09-09 v5 math.MP
Abstract
We give a mathematically precise review of a diagrammatic language introduced by Friedrichs in order to simplify computations with creation and annihilation operator products. In that language, we establish explicit formulas and algorithms for evaluating bosonic and fermionic commutators. Further, as an application, we demonstrate that the non-linear Hartree dynamics can be seen as a subset of the diagrams arising in the time evolution of a Bose gas.
Keywords
Cite
@article{arxiv.2303.13925,
title = {Friedrichs Diagrams -- Bosonic and Fermionic},
author = {Morris Brooks and Sascha Lill},
journal= {arXiv preprint arXiv:2303.13925},
year = {2024}
}
Comments
26 pages, 11 figures. An important typo in Theorem 2.3, (23) has been fixed with respect to the previous version