articles/23j_c
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Update to v1.0:

Browse Source 
Major overhaul: All sections have been changed and improved.

  Added: Computation of the condensate fraction

  Added: Discussion and plots of correlation function and momentum distribution

  Added: Section on numerical computation

  Added: Appendices on functional analysis

  Added: Detailed analysis of the operator K_e

  Change: Parameters for numerical simulations.

  Change: Renamed "Simplified approach" to "Lieb's simplified approach"

  Added: More bibliography

  Added: Acknowledgements
This commit is contained in:
Ian Jauslin
2025-02-06 15:10:06 -05:00
parent 3bd7865e45
commit 3dc01c5a75
28 changed files with 3681 additions and 1170 deletions
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161
libs/ian.cls
View File

@ -26,9 +26,11 @@
\DeclareOption{no_subsection_in_eq}{\subsectionsineqfalse}
\DeclareOption{no_subsection_in_fig}{\subsectionsinfigfalse}
\DeclareOption{no_subsection_in_all}{\subsectionsineqfalse\subsectionsinfigfalse}
\DeclareOption{a4paper}{\afourpaper}
\DeclareOption{letterpaper}{\letterpaper}
\def\ian@defaultoptions{
\ExecuteOptions{section_in_all, no_subsection_in_all}
\ExecuteOptions{section_in_all, no_subsection_in_all, a4paper}
\ProcessOptions
%% required packages
@ -41,9 +43,56 @@
\pagestyle{plain}
}
%% paper dimensions
\setlength\paperheight{297mm}
\setlength\paperwidth{210mm}
%% paper sizes
\def\afourpaper{
%% paper dimensions
\setlength\paperheight{297mm}
\setlength\paperwidth{210mm}
%% offsets
\hoffset=-1in
\voffset=-1in
%% horizontal margins
\oddsidemargin=25mm
\evensidemargin=25mm
%% vertical margin
\topmargin=15mm
%% body size
\textwidth=160mm
\textheight=247mm
%% header size and margin
\headheight=5mm
\headsep=5mm
%% footer size
%\footskip=30pt
%% margin size and margin
\marginparwidth=15mm
\marginparsep=5mm
}
\def\letterpaper{
\setlength\paperheight{11in}
\setlength\paperwidth{8.5in}
%% offsets
\hoffset=-1in
\voffset=-1in
%% horizontal margins
\oddsidemargin=1in
\evensidemargin=1in
%% vertical margin
\topmargin=0.5in
%% body size
\textwidth=6.5in
\textheight=9in
%% header size and margin
\headheight=0.25in
\headsep=0.25in
%% footer size
%\footskip=30pt
%% margin size and margin
\marginparwidth=0.4in
\marginparsep=0.2in
}
%% fonts
\input{size11.clo}
@ -53,12 +102,6 @@
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
%% text dimensions
\hoffset=-50pt
\voffset=-72pt
\textwidth=460pt
\textheight=704pt
%% remove default indentation
\parindent=0pt
@ -120,9 +163,9 @@
\hyperlink{ln.\csname label@##1@hl\endcsname}{{\color{blue}\safe\csname label@##1\endcsname}}%
\else%
\ifcsname label@##1\endcsname%
{\color{blue}\csname ##1\endcsname}%
\else%
{\bf ??}%
{\color{blue}\csname ##1\endcsname}%
\else%
{\bf ??}%
\fi%
\fi%
}
@ -136,9 +179,12 @@
\csname ##1\endcsname%
\else%
{\bf ??}%
\fi%
\fi%
}
{\color{blue}\csname ##1\endcsname}%
\else%
{\bf ??}%
\fi%
\fi%
}
}
@ -435,12 +481,13 @@
% booleans (write section or subsection in equation number)
\newif\ifsectionsinfig
\newif\ifsubsectionsinfig
% width of figures
\newlength\figwidth
\setlength\figwidth\textwidth
\addtolength\figwidth{-2.5cm}
% caption
\def\defcaption{
% width of figures
\newlength\figwidth
\setlength\figwidth\textwidth
\addtolength\figwidth{-2.5cm}
\long\def\caption##1{%
\stepcounter{figcount}%
%
@ -530,34 +577,6 @@
%\def\seqskip{\vfill\pagebreak}
}
%% start exercises
\def\exercises{
\vfill
\pagebreak
% counter
\setcounter{sectioncount}0
\setcounter{seqcount}0
% prefix
\def\sectionprefix{E}
\hrefanchor
% write
{\bf \LARGE Exercises}\par\penalty10000\bigskip\penalty10000
% add a mention in the table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@exercises\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocexercises{\thepage}}\penalty10000
\fi
\def\eqprefix{E}
\sectionsineqfalse
}
%% bibliography
% size of header
@ -593,7 +612,7 @@
%% cite command
% @tempswa is set to true when there is an optional argument
\newif\@tempswa
\newif\if@tempswa
\def\cite{%
% check whether there is an optional argument (if there is none, add on empty '[]')
\@ifnextchar [{\@tempswatrue\@citex}{\@tempswafalse\@citex[]}%
@ -692,13 +711,6 @@
{\hyperlink{ln.\csname toc@references\endcsname}{{\color{blue}\bf References}\leaderfill#1}}\par
\smallskip
}
\def\tocexercises#1{
\medskip
\setcounter{tocsectioncount}0
{\hyperlink{ln.\csname toc@exercises\endcsname}{{\color{blue}\bf Exercises}\leaderfill#1}}\par
\smallskip
\def\tocsectionprefix{E}
}
%% definitions that must be loaded at begin document
@ -710,6 +722,43 @@
\defcaption
}
%% start exercises
\def\exercises{
\vfill
\pagebreak
% counter
\setcounter{sectioncount}0
\setcounter{seqcount}0
% prefix
\def\sectionprefix{E}
\hrefanchor
% write
{\bf \LARGE Exercises}\par\penalty10000\bigskip\penalty10000
% add a mention in the table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@exercises\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocexercises{\thepage}}\penalty10000
\fi
\def\eqprefix{E}
\sectionsineqfalse
}
\def\tocexercises#1{
\medskip
\setcounter{tocsectioncount}0
{\hyperlink{ln.\csname toc@exercises\endcsname}{{\color{blue}\bf Exercises}\leaderfill#1}}\par
\smallskip
\def\tocsectionprefix{E}
}
%% end
\ian@defaultoptions
\endinput

2
libs/problemset.sty
View File

@ -108,8 +108,8 @@
\def\questionformat#1{{\bf(#1)} }
\def\solution#1{
\makelink{sol:#1}{\thepage}
{\bf Solution\-~\ref{ex:#1}}\par\penalty10000\smallskip\penalty10000
\makelink{sol:#1}{\thepage}
\def\eqprefix{S\textref{ex:#1}.}
\resetpointcounter
\setcounter{seqcount}{0}