diff options
Diffstat (limited to 'preamble.tex')
| -rw-r--r-- | preamble.tex | 81 |
1 files changed, 67 insertions, 14 deletions
diff --git a/preamble.tex b/preamble.tex index 35d94ad..8479b31 100644 --- a/preamble.tex +++ b/preamble.tex @@ -11,9 +11,12 @@ \usepackage{amsmath,amsthm} \usepackage{mathtools} \usepackage[colon=literal]{unicode-math} % TODO get rid of this since it messes up math italic correction -\usepackage{enumitem} +\usepackage[inline]{enumitem} +\usepackage{multicol} %\usepackage{graphicx} +\usepackage{tikz} \usepackage{tcolorbox} +%\usepackage{wrapfig} \usepackage[style=ext-alphabetic]{biblatex} \usepackage[intoc,refpage]{nomencl} \usepackage{makeidx} @@ -81,8 +84,10 @@ % ---------- amsmath \numberwithin{equation}{chapter} \DeclareMathOperator{\supp}{supp} +\DeclareMathOperator{\diag}{diag} \DeclareMathOperator{\dom}{dom} \DeclareMathOperator{\ran}{ran} +\DeclareMathOperator{\Span}{span} % extend amsmath's proof environment \NewDocumentEnvironment{myproof}{Ob}{\IfNoValueTF{#1}{\begin{proof}}{\begin{proof}[\proofname\ of \Cref{#1}]}}{\end{proof}} @@ -99,6 +104,12 @@ \DeclarePairedDelimiterX\innerp[2]{\langle}{\rangle}{#1,#2} \DeclarePairedDelimiterX\LorentzBF[2]{\lparen}{\rparen}{#1,#2} +% ---------- enumitem +\setlist[enumerate,1]{label=(\roman*),nosep,leftmargin=*,widest=ii} + +% ---------- tikz +\usetikzlibrary{arrows.meta} + % ---------- tcolorbox \tcbuselibrary{skins,theorems,breakable} % add breakable library? \tcbset{% @@ -177,7 +188,9 @@ % ---------- nomencl \makenomenclature -\renewcommand*{\nomname}{List of Symbols} +\renewcommand{\nomname}{List of Symbols} +\renewcommand{\nompreamble}{\begin{multicols}{2}} +\renewcommand{\nompostamble}{\end{multicols}} %\def\pagedeclaration#1{, \hyperlink{page.#1}{page\nobreakspace#1}} \def\pagedeclaration#1{, \hyperlink{page.#1}{#1}} @@ -234,6 +247,7 @@ % TODO Why does this not work? \renewcommand{\Re}{\operatorname{Re}} \renewcommand{\Im}{\operatorname{Im}} +\newcommand{\Real}{\operatorname{Re}} \newcommand{\Imag}{\operatorname{Im}} % emphasis for defined terms @@ -283,6 +297,7 @@ \newcommand*{\BosonFockFinite}[1]{\mathcal{F}^{@0}_{\!\ts{s}}(#1)} \newcommand*{\FermionFock}[1]{\mathcal{F}_{\!\ts{s}}(#1)} \newcommand*{\FermionFockFinite}[1]{\mathcal{F}^{@0}_{\!\ts{s}}(#1)} +\newcommand*{\FockVacuum}{\Omega} % Operators % --------- @@ -320,27 +335,65 @@ \newcommand{\defequal}{\overset{\text{\scriptsize def}}{=}} \newcommand*{\energydensity}{\varrho} -\newcommand*{\fockvaccum}{\Omega} % Observable Algebras \newcommand*{\vNa}[1]{\mathcal{#1}} \newcommand*{\localalg}[1]{\vNa{R}(#1)} +% Measure Theroy +\newcommand*{\BorelSigmaAlgebra}[2][]{\mathfrak{B}\parens[#1]{#2}} + +% Lorentz and Poincaré groups, subgroups and connected components +\newcommand*{\LorentzGroup}{\mathcal{L}} +\newcommand*{\FullLorentzGroup}{\LorentzGroup} +\newcommand*{\ProperLorentzGroup}{\LorentzGroup_{+}} +\newcommand*{\OrthochronousLorentzGroup}{\LorentzGroup^{\uparrow}} +\newcommand*{\OrthochorousLorentzGroup}{\LorentzGroup_0} +\newcommand*{\ProperOrthochronousLorentzGroup}{\LorentzGroup_{+}^{\uparrow}} +\newcommand*{\RestrictedLorentzGroup}{\ProperOrthochronousLorentzGroup} +\newcommand*{\ImproperOrthochronousLorentzTransformations}{\LorentzGroup_{-}^{\uparrow}} +\newcommand*{\ProperNonorthochronousLorentzTransformations}{\LorentzGroup_{+}^{\downarrow}} +\newcommand*{\ImproperNonorthochronousLorentzTransformations}{\LorentzGroup_{-}^{\downarrow}} + +\newcommand*{\ComplexLorentzGroup}{\LorentzGroup(\CC)} +\newcommand*{\FullComplexLorentzGroup}{\ComplexLorentzGroup} +\newcommand*{\ProperComplexLorentzGroup}{\ProperLorentzGroup(\CC)} +\newcommand*{\ImproperComplexLorentzTransformations}{\LorentzGroup_{-}(\CC)} + +\newcommand*{\PoincareGroup}{\mathcal{P}} +\newcommand*{\FullPoincareGroup}{\PoincareGroup} +\newcommand*{\ProperPoincareGroup}{\PoincareGroup_{\!+}} +\newcommand*{\OrthochronousPoincareGroup}{\PoincareGroup^{\uparrow}} +\newcommand*{\OrthochorousPoincareGroup}{\PoincareGroup_0} +\newcommand*{\ProperOrthochronousPoincareGroup}{\PoincareGroup_{\!+}^{\uparrow}} +\newcommand*{\RestrictedPoincareGroup}{\ProperOrthochronousPoincareGroup} +\newcommand*{\ImproperOrthochronousPoincareTransformations}{\PoincareGroup_{\!-}^{\uparrow}} +\newcommand*{\ProperNonorthochronousPoincareTransformations}{\PoincareGroup_{\!+}^{\downarrow}} +\newcommand*{\ImproperNonorthochronousPoincareTransformations}{\PoincareGroup_{\!-}^{\downarrow}} + +\newcommand*{\ComplexPoincareGroup}{\PoincareGroup(\CC)} +\newcommand*{\FullComplexPoincareGroup}{\ComplexPoincareGroup} +\newcommand*{\ProperComplexPoincareGroup}{\ProperPoincareGroup(\CC)} +\newcommand*{\ImproperComplexPoincareTransformations}{\PoincareGroup_{\!-}(\CC)} + +% Functional Analysis +\newcommand*{\BoundedLinearOperators}[2][]{B\parens[#1]{#2}} +\DeclareMathOperator*{\stronglim}{s-lim} +\DeclareMathOperator*{\weaklim}{w-lim} -\newcommand*{\FullLorentzGroup}{\mathcal{L}} -\newcommand*{\ProperOrthochronousLorentzGroup}{\FullLorentzGroup_{+}^{\uparrow}} -\newcommand*{\FullPoincareGroup}{\mathcal{P}} -\newcommand*{\ProperOrthochronousPoincareGroup}{\FullPoincareGroup_{+}^{\uparrow}} - -% spacetime domains +% spacetime regions \newcommand*{\spacetimeregion}[1]{\mathcal{#1}} \newcommand*{\rightwedge}{W_{\! R}} \newcommand*{\leftwedge}{W_{\! L}} +\newcommand*{\OpenForwardCone}{V_+} +\newcommand*{\ClosedForwardCone}{\bar{V}_+} +\newcommand*{\OpenForwardTube}{T_+} +\newcommand*{\ClosedForwardTube}{\bar{T}_+} -\newcommand*{\todo}[1]{{\color{blue}TODO: #1}} -\newcommand*{\question}[1]{{\color{blue}Question: #1}} -\newcommand*{\info}[1]{{\color{blue}Info: #1}} +% comments +\newcommand*{\bluetext}[1]{{\color{blue}#1}} +\newcommand*{\todo}[1]{\bluetext{TODO: #1}} +\newcommand*{\question}[1]{\bluetext{Question: #1}} +\newcommand*{\info}[1]{\bluetext{Info: #1}} \newcommand*{\operatorclosure}[1]{\overline{#1}} - -\DeclareMathOperator*{\stronglim}{s-lim} |