42 lines
2.2 KiB
TeX
42 lines
2.2 KiB
TeX
\documentclass[10pt]{letter}
|
|
\usepackage{UPS_letterhead,xcolor,mhchem,mathpazo,ragged2e,url}
|
|
\newcommand{\alert}[1]{\textcolor{red}{#1}}
|
|
\definecolor{darkgreen}{HTML}{009900}
|
|
|
|
|
|
\begin{document}
|
|
|
|
\begin{letter}%
|
|
{To the Editors of the Journal of Physics: Condensed Matter (JPCM)}
|
|
|
|
\opening{Dear Editors,}
|
|
|
|
\justifying
|
|
Following the recent invitation of Ania Wronski, please find enclosed our manuscript entitled \textit{``Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them''}, which we would like you to consider as a Topical Review in \textit{J. Phys. Cond. Mat.}
|
|
|
|
This multidisciplinary review explores the non-Hermitian extension of computational quantum chemistry to the complex plane and its link with perturbation theory.
|
|
In particular, we focus on its mathematical roots and connections with physical phenomena such as quantum phase transitions and exceptional points in the complex plane.
|
|
We begin by presenting the fundamental concepts behind non-Hermitian extensions of quantum chemistry into the complex plane, including the Hartree--Fock approximation and
|
|
Rayleigh--Schr\"odinger perturbation theory.
|
|
We then provide a comprehensive review of the various research that has been performed around the physics of complex singularities in perturbation theory, with a particular focus on M{\o}ller--Plesset theory.
|
|
Finally, several resummation techniques are discussed that can improve energy estimates for both convergent and divergent series, including Pad\'e and quadratic approximants.
|
|
Throughout this review, we present illustrative and pedagogical examples based on the ubiquitous Hubbard dimer at half-filling, reinforcing the amazing versatility of this powerful simplistic model.
|
|
|
|
Due to the genuine interdisciplinary nature of the present article and its pedagogical aspect, we believe that it will be of interest to a wide audience within the physics and chemistry communities.
|
|
We hope that the editors and the reviewers of \textit{JPCM} will find this topical review enjoyable and educative.
|
|
|
|
We suggest Paola Gori-Giorgi, Jeppe Olsen, Peter Surjan, So Hirata, Peter Knowles, and Kieron Burke as potential referees.
|
|
We look forward to hearing from you soon.
|
|
|
|
\closing{Sincerely, the authors.}
|
|
|
|
|
|
\end{letter}
|
|
\end{document}
|
|
|
|
|
|
|
|
|
|
|
|
|