%% %% This is file `hep-math.sty', %% generated with the docstrip utility. %% %% The original source files were: %% %% hep-math-implementation.dtx (with options: `package') %% This is a generated file. %% Copyright (C) 2019-2020 by Jan Hajer %% This file may be distributed and/or modified under the %% conditions of the LaTeX Project Public License, either %% version 1.3c of this license or (at your option) any later %% version. The latest version of this license is in: %% http://www.latex-project.org/lppl.txt %% and version 1.3c or later is part of all distributions of %% LaTeX version 2005/12/01 or later. \NeedsTeXFormat{LaTeX2e}[2005/12/01] \ProvidesPackage{hep-math}[2021/09/01 v1.0 Math and physics macros] \RequirePackage{mathtools} \allowdisplaybreaks[1] \thickmuskip=5mu plus 3mu minus 1mu \medmuskip=4mu plus 2mu minus 3mu \RequirePackage{xparse} \DeclareDocumentCommand{\mathdef}{mO{0}m}{% \expandafter\let\csname hep@text\string#1\endcsname=#1 \expandafter\newcommand\csname hep@math\string#1\endcsname[#2]{#3} \DeclareRobustCommand#1{% \ifmmode \expandafter\let\expandafter\next\csname% hep@math\string#1\endcsname% \else \expandafter\let\expandafter\next\csname% hep@text\string#1\endcsname% \fi \next }% } \AtBeginDocument{\mathdef{\i}{\operatorname{i}}} \RequirePackage{soulutf8} \newcommand\textoverline[1]{{\setul{-1.9ex}{}\ul{#1}}} \let\overline\textoverline \DeclareRobustCommand{\over@line}[1]{\@@overline{#1}} \mathdef{\overline}{\over@line} \newcommand{\oset}[3][-1pt]{% \text{\raisebox{.2ex}{$\mathop{#3}\limits^{% \vbox to#1{\kern-2\ex@\hbox{$\scriptscriptstyle#2$}\vss}% }$}}% } \newcommand{\overleft}[1]{\oset{\leftarrow}{#1}} \newcommand{\overright}[1]{\oset{\rightarrow}{#1}} \newcommand{\overleftright}[1]{\oset{\leftrightarrow}{#1}} \DeclareMathOperator{\tr}{tr} \DeclareMathOperator{\Tr}{Tr} \DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\erf}{erf} \DeclareMathOperator{\Res}{Res} \DeclareMathOperator{\sgn}{sgn} \DeclareMathOperator{\diag}{diag} \let\det\relax\DeclareMathOperator{\det}{det} \let\Re\relax\DeclareMathOperator{\Re}{Re} \let\Im\relax\DeclareMathOperator{\Im}{Im} \newcommand*{\hep@transpose}[2]{\raisebox{\depth}{$\m@th#1\intercal$}} \newcommand*{\transpose}{{\mathpalette\hep@transpose{}}} \let\trans\transpose \let\cos\undefined\DeclareMathOperator{\cos}{cos\vphantom{i}} \let\tan\undefined\DeclareMathOperator{\tan}{tan\vphantom{i}} \DeclareMathOperator{\arccsc}{arccsc} \DeclareMathOperator{\arcsec}{arcsec} \DeclareMathOperator{\arccot}{arccot} \DeclareMathOperator{\asin}{asin} \DeclareMathOperator{\acos}{acos} \DeclareMathOperator{\atan}{atan} \DeclareMathOperator{\acsc}{acsc} \DeclareMathOperator{\asec}{asec} \DeclareMathOperator{\acot}{acot} \DeclareMathOperator{\csch}{csch} \DeclareMathOperator{\sech}{sech} \RequirePackage{units} \newcommand{\inv}[2][1]{#2\ensuremath{^{-#1}}} \newcommand{\textfrac}[2]{\ensuremath{\nicefrac{\text{#1}}{\text{#2}}}} \DeclarePairedDelimiterX{\hep@flatfrac}[2]{.}{.}{% #1\delimsize/\hep@left@delim#2% } \NewDocumentCommand{\flatfrac}{somm}{% \IfBooleanTF{#1}{% \hep@flatfrac*{#3}{#4}% }{% \IfNoValueTF{#2}{\,\hep@left@delim#3/\hep@left@delim#4\,% }{% \hep@flatfrac[#2]{#3}{#4}% }% }% } \newcommand{\differential}[1]{\mathop{}\!#1} \newcommand\newderivative[2]{ \NewDocumentCommand{#1}{somse{^}}{% \IfBooleanTF{##4}{% \IfBooleanTF{##1}{\nicefrac}{\frac}% }{% \IfBooleanTF{##1}{\flatfrac}{\dfrac}% }{% \differential#2\IfValueT{##5}{^{##5\!}}\IfValueT{##2}{##2}% }{% \differential#2{##3}\IfValueT{##5}{^{##5}}% }% } } \newcommand\newpartialderivative[2]{ \NewDocumentCommand{#1}{somsE{^}{1}oE{^}{1}oE{^}{1}}{% \def\hep@one{\IfValueTF{##6}{##7}{0}} \def\hep@two{\IfValueTF{##8}{##9}{0}} \def\hep@sum{\the\numexpr##5+\hep@one+\hep@two\relax} \IfBooleanTF{##4}{% \IfBooleanTF{##1}{\nicefrac}{\frac}% }{% \IfBooleanTF{##1}{\flatfrac}{\dfrac}% }{% \differential#2\ifnum\hep@sum=1\relax\else{^{\hep@sum\!}}\fi \IfValueT{##2}{##2}% }{% \differential#2{##3}\ifnum##5=1\relax\else{^{##5}}\fi% \IfValueT{##6}{#2##6\ifnum##7=1\relax\else{^{##7}}\fi}% \IfValueT{##8}{#2##8\ifnum##9=1\relax\else{^{##9}}\fi}% }% } } \providecommand{\diffsymbol}{d} \newcommand{\diff}{\differential\diffsymbol} \AtBeginDocument{\mathdef{\d}{\diff}} \newderivative{\derivative}{\diffsymbol} \newcommand\dv{\derivative} \newcommand\partialdifferential{\differential\partial} \newcommand\pd{\partialdifferential} \newpartialderivative{\partialderivative}{\partial} \newcommand\pdv{\partialderivative} \providecommand{\gaugediffsymbol}{D} \newcommand{\gaugediff}{\differential\gaugediffsymbol} \newcommand{\D}{\gaugediff} \newcommand{\covariantdiff}{\differential\nabla} \newcommand{\cd}{\covariantdiff} \newcommand\variation{\differential\delta} \newcommand\var{\variation} \newpartialderivative{\functionalderivative}{\delta} \newcommand\fdv{\functionalderivative} \RequirePackage{cancel} \RequirePackage{slashed} \declareslashed{}{/}{.06}{0}{\D} \declareslashed{}{/}{.055}{0}{\pd} \RequirePackage{mleftright} \mleftright \newcommand{\noargumentsymbol}{\:\cdot\:} \newcommand{\optionalargument}[1]{\ifblank{#1}{\noargumentsymbol}{#1}} \DeclarePairedDelimiterX\abs[1]\lvert\rvert{\optionalargument{#1}} \DeclarePairedDelimiterX\hep@norm[1]\lVert\rVert{\optionalargument{#1}} \DeclarePairedDelimiterXPP\hep@pnorm[2]{}\lVert\rVert{_{#1}}{#2} \NewDocumentCommand{\norm}{som}{% \IfValueTF{#2}{% \IfBooleanTF{#1}{\hep@pnorm*}{\hep@pnorm}{#2}% }{% \IfBooleanTF{#1}{\hep@norm*}{\hep@norm}% }{\optionalargument{#3}}% } \providecommand{\ordersymbol}{\mathcal{O}} \DeclarePairedDelimiterXPP\order[1]{\ordersymbol}(){}{#1} \DeclarePairedDelimiter{\hep@evaluated}{.}{\rvert} \NewDocumentCommand{\evaluated}{som}{% \IfBooleanTF{#1}{% \hep@evaluated*{#3}% }{% \IfNoValueTF{#2}{#3\rvert}{\hep@evaluated[#2]{#3}}% }% } \newcommand\eval{\evaluated} \newcommand*{\rowseperator}{,\,} \ExplSyntaxOn \newcommand*{\hep@row}[1]{ \seq_set_split:Nnn\hep@seq{,}{#1} \begin{matrix}\seq_use:Nn\hep@seq{\rowseperator}\end{matrix} } \newcommand*{\hep@column}[1]{% \seq_set_split:Nnn\hep@seq{,}{#1}% \begin{matrix}\seq_use:Nn\hep@seq{\\}\end{matrix}% } \ExplSyntaxOff \DeclarePairedDelimiterX{\row}[1]{(}{)}{\hep@row{#1}} \NewDocumentCommand{\column}{me{^}e{_}}{% \left(\hep@column{#1}\right)\IfValueT{#2}{^{\!\!\!#2}}\IfValueT{#3}{_{\!\!\!#3}}% } \newcommand\hep@left@delim{\mathopen{}} \providecommand{\midbar}[1][]{% \nonscript\:#1\vert\allowbreak\nonscript\:\hep@left@delim% } \providecommand\suchthat{\midbar} \DeclarePairedDelimiterX\set[1]\{\}{% \renewcommand\suchthat{\midbar[\delimsize]}#1% } \providecommand{\probabilitysymbol}{\operatorname{Pr}} \providecommand\given{\midbar} \DeclarePairedDelimiterXPP\hep@Pr[1]{% \probabilitysymbol}(){}{% \renewcommand\given{\midbar[\delimsize]}#1% } \let\Pr\relax \NewDocumentCommand{\Pr}{so}{% \IfValueTF{#2}{% \IfBooleanTF{#1}{\hep@Pr*}{\hep@Pr}{#2}% }{% \probabilitysymbol% }% } \NewDocumentCommand{\newpair}{mmme{_}e{^}}{% \IfNoValueTF{#4}{% \IfNoValueTF{#5}{% \DeclarePairedDelimiterX{#1}[2]{#2}{#3}% }{% \DeclarePairedDelimiterXPP{#1}[2]{}{#2}{#3}{^{#5}}% }% }{% \DeclarePairedDelimiterXPP{#1}[2]{}{#2}{#3}{_{#4}}% }{% \optionalargument{##1},\optionalargument{##2}% }% } \newpair\innerproduct\langle\rangle \newpair\poissonbracket\lbrace\rbrace \newpair\commutator\lbrack\rbrack \newcommand\pb{\poissonbracket} \newcommand\comm{\commutator} \newcommand\acomm{\poissonbracket} \providecommand\braketspace{\mskip1mu} \newcommand\hep@midvert{% \braketspace\delimsize\vert\braketspace\hep@left@delim% } \DeclarePairedDelimiterX\braket[2]{\langle}{\rangle}{% \braketspace#1\hep@midvert#2\braketspace% } \DeclarePairedDelimiterXPP\hep@bra[1]{% }{\langle}{\rvert}{\braketspace}{\braketspace#1\braketspace% } \NewDocumentCommand{\bra}{smt\ket sgt\ketbra sgg}{% \IfBooleanTF{#6}{% \IfBooleanTF{#1}{\braket*{#2}{#8}}{\braket{#2}{#8}}% \IfBooleanTF{#7}{\bra*{#9}}{\bra{#9}}% }{ \IfBooleanTF{#3}{% \IfBooleanTF{#1}{\braket*}{% \IfBooleanTF{#4}{\braket*}{\braket}}{#2}{#5% }% }{% \IfBooleanTF{#1}{\hep@bra*}{\hep@bra}{#2}% }% }% } \DeclarePairedDelimiterXPP\ket[1]{% \braketspace}{\lvert}{\rangle}{% }{% \braketspace\hep@left@delim#1\braketspace% } \NewDocumentCommand{\ketbra}{smm}{% \IfBooleanTF{#1}{% \ket*{#2}\bra*{#3}% }{% \ket{#2}\bra{#3}% }% } \DeclarePairedDelimiterX\matrixelement[3]{% \langle}{\rangle }{% \braketspace#1\hep@midvert#2\hep@midvert#3\braketspace% } \newcommand\matrixel{\matrixelement} \newcommand\mel{\matrixelement} \DeclarePairedDelimiterX\hep@expvalue[1]{\langle}{\rangle}{% \braketspace#1\braketspace% } \NewDocumentCommand{\expectationvalue}{som}{% \IfNoValueTF{#2}{% \IfBooleanTF{#1}{\hep@expvalue*}{\hep@expvalue}{#3}% }{% \IfBooleanTF{#1}{\matrixelement*}{\matrixelement}{#2}{#3}{#2}% }% } \newcommand\ev{\expectationvalue} \newcommand\vev[1]{\expectationvalue[0]{#1}} \endinput %% %% End of file `hep-math.sty'.