\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{textgreek}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{xparse}
\usepackage{esint}
\usepackage{physics}

\renewcommand{\oiint}{\varoiint} % integral symbol


\DeclareSymbolFont{yiilm}{T1}{lmr}{m}{n}

\DeclareMathSymbol{\Alpha}{7}{yiilm}{"41}
\DeclareMathSymbol{\Beta}{7}{yiilm}{"42}
\DeclareMathSymbol{\Epsilon}{7}{yiilm}{"45}
\DeclareMathSymbol{\Zeta}{7}{yiilm}{"5A}
\DeclareMathSymbol{\Eta}{7}{yiilm}{"48}
\DeclareMathSymbol{\Iota}{7}{yiilm}{"49}
\DeclareMathSymbol{\Kappa}{7}{yiilm}{"4B}
\DeclareMathSymbol{\Mu}{7}{yiilm}{"4D}
\DeclareMathSymbol{\Nu}{7}{yiilm}{"4E}
\DeclareMathSymbol{\Omicron}{7}{yiilm}{"4F}
\DeclareMathSymbol{\Rho}{7}{yiilm}{"50}
\DeclareMathSymbol{\Tau}{7}{yiilm}{"54}
\DeclareMathSymbol{\Chi}{7}{yiilm}{"58}

\let\yiiepsilon\epsilon
\let\epsilon\varepsilon
\let\varepsilon\yiiepsilon

\let\Varepsilon\Epsilon
\let\Vartheta\Theta
\let\Varpi\Pi
\let\Varrho\Rho
\let\Varphi\Phi

\let\textvarepsilon\straightepsilon
\let\textvarrho\textrho
\let\textvarphi\textphi
\let\textphi\straightphi
\let\textvartheta\texttheta
\let\texttheta\straighttheta
\let\textVarepsilon\textEpsilon
\let\textVartheta\textTheta
\let\textVarrho\textRho
\let\textVarphi\textPhi

\newcommand{\omicron}{\mathit{o}}
\renewcommand{\textomicron}{o}
\renewcommand{\textOmicron}{O}


\newcommand{\mathalpha}{\text{\textalpha}}
\newcommand{\mathbeta}{\text{\textbeta}}
\newcommand{\mathgamma}{\text{\textgamma}}
\newcommand{\mathdelta}{\text{\textdelta}}
\newcommand{\mathepsilon}{\text{\textepsilon}}
\newcommand{\mathvarepsilon}{\text{\textvarepsilon}}
\newcommand{\mathzeta}{\text{\textzeta}}
\newcommand{\matheta}{\text{\texteta}}
\newcommand{\maththeta}{\text{\texttheta}}
\newcommand{\mathvartheta}{\text{\textvartheta}}
\newcommand{\mathiota}{\text{\textiota}}
\newcommand{\mathkappa}{\text{\textkappa}}
\newcommand{\mathlambda}{\text{\textlambda}}
\newcommand{\mathmu}{\text{\textmu}}
\newcommand{\mathnu}{\text{\textnu}}
\newcommand{\mathxi}{\text{\textxi}}
\newcommand{\mathomicron}{\text{\textomicron}}
\newcommand{\mathpi}{\text{\textpi}}
\newcommand{\mathrho}{\text{\textrho}}
\newcommand{\mathvarrho}{\text{\textvarrho}}
\newcommand{\mathsigma}{\text{\textsigma}}
\newcommand{\mathtau}{\text{\texttau}}
\newcommand{\mathupsilon}{\text{\textupsilon}}
\newcommand{\mathphi}{\text{\textphi}}
\newcommand{\mathvarphi}{\text{\textvarphi}}
\newcommand{\mathchi}{\text{\textchi}}
\newcommand{\mathpsi}{\text{\textpsi}}
\newcommand{\mathomega}{\text{\textomega}}
\newcommand{\mathAlpha}{\text{\textAlpha}}
\newcommand{\mathBeta}{\text{\textBeta}}
\newcommand{\mathGamma}{\text{\textGamma}}
\newcommand{\mathDelta}{\text{\textDelta}}
\newcommand{\mathEpsilon}{\text{\textEpsilon}}
\newcommand{\mathVarepsilon}{\text{\textVarepsilon}}
\newcommand{\mathZeta}{\text{\textZeta}}
\newcommand{\mathEta}{\text{\textEta}}
\newcommand{\mathTheta}{\text{\textTheta}}
\newcommand{\mathVartheta}{\text{\textVartheta}}
\newcommand{\mathIota}{\text{\textIota}}
\newcommand{\mathKappa}{\text{\textKappa}}
\newcommand{\mathLambda}{\text{\textLambda}}
\newcommand{\mathMu}{\text{\textMu}}
\newcommand{\mathNu}{\text{\textNu}}
\newcommand{\mathXi}{\text{\textXi}}
\newcommand{\mathOmicron}{\text{\textOmicron}}
\newcommand{\mathPi}{\text{\textPi}}
\newcommand{\mathRho}{\text{\textRho}}
\newcommand{\mathVarrho}{\text{\textVarrho}}
\newcommand{\mathSigma}{\text{\textSigma}}
\newcommand{\mathTau}{\text{\textTau}}
\newcommand{\mathUpsilon}{\text{\textUpsilon}}
\newcommand{\mathPhi}{\text{\textPhi}}
\newcommand{\mathVarphi}{\text{\textVarphi}}
\newcommand{\mathChi}{\text{\textChi}}
\newcommand{\mathPsi}{\text{\textPsi}}
\newcommand{\mathOmega}{\text{\textOmega}}

\let\micro\mathmu
% Commands
%% vectors
\let\vect\vb
\let\rot\curl

%% set and spaces
\newcommand{\set}[1]{\mathbf{#1}} % set (in bold)
\newcommand{\spc}[1]{\mathcal{#1}} % space (in cal)
\newcommand{\N}{\set{N}}
\newcommand{\Z}{\set{Z}}
\newcommand{\D}{\set{D}}
\newcommand{\Q}{\set{Q}}
\newcommand{\R}{\set{R}}
\newcommand{\C}{\set{C}}
\newcommand{\K}{\set{K}}

\newcommand{\intqty}[1]{\left[\!\left[{#1}\right]\!\right]}

%% quantities
\newcommand{\lag}{\mathcal{L}}
\newcommand{\ham}{\mathcal{H}}
\newcommand{\mom}{\mathcal{M}}

%% symbols
\newcommand{\odeg}{\text{°}}
\newcommand{\omin}{\text{'}}
\newcommand{\osec}{\text{''}}
\let\transp\top
\let\Sun\odot
\let\Earth\oplus

%% Operators
\DeclareMathOperator{\Sp}{Sp}
\DeclareMathOperator{\Image}{Im}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\arctantwo}{arctan2}
\DeclareMathOperator{\FT}{FT}
\let\lap\laplacian % Physics alias

%% Probability
\DeclareMathOperator{\p}{\mathbb{P}}
\DeclareMathOperator{\pO}{\mathbb{O}}
\DeclareMathOperator{\pF}{\mathbb{F}}
\DeclareMathOperator{\pdf}{\mathbb{F'}}
\DeclareMathOperator{\pE}{\mathbb{E}}
\DeclareMathOperator{\pV}{\mathbb{V}}
\DeclareMathOperator{\normal}{\mathcal{N}}
\DeclareMathOperator{\binomial}{\mathcal{B}}
\DeclareMathOperator{\poisson}{\mathcal{P}}

%% Constants
\newcommand{\im}{\mathrm{i}}
\newcommand{\jm}{\mathrm{j}}
\newcommand{\e}{\mathrm{e}}
\newcommand{\NA}{\mathcal{N}_\mathrm{A}}
\newcommand{\kB}{k_\mathrm{B}}
\newcommand{\muB}{\mu_\mathrm{B}}
\newcommand{\cst}{\mathrm{cst}}
\newcommand{\uma}{\mathrm{u}}

%% Unitary vectors
\newcommand{\ux}{\vu u_x}
\newcommand{\uy}{\vu u_y}
\newcommand{\uz}{\vu u_z}
\newcommand{\ur}{\vu u_r}
\newcommand{\un}{\vu u_n}
\newcommand{\ut}{\vu u_t}
\newcommand{\urho}{\vu u_\rho}
\newcommand{\uvarrho}{\vu u_\varrho}
\newcommand{\utheta}{\vu u_\theta}
\newcommand{\uvartheta}{\vu u_\vartheta}
\newcommand{\uphi}{\vu u_\phi}
\newcommand{\uvarphi}{\vu u_\varphi}

\newcommand{\ex}{\vu e_x}
\newcommand{\ey}{\vu e_y}
\newcommand{\ez}{\vu e_z}
\newcommand{\er}{\vu e_r}
\newcommand{\en}{\vu e_n}
\newcommand{\et}{\vu e_t}
\newcommand{\erho}{\vu e_\rho}
\newcommand{\evarrho}{\vu e_\varrho}
\newcommand{\etheta}{\vu e_\theta}
\newcommand{\evartheta}{\vu e_\vartheta}
\newcommand{\ephi}{\vu e_\phi}
\newcommand{\evarphi}{\vu e_\varphi}

\newcommand{\vux}{\vu x}
\newcommand{\vuy}{\vu y}
\newcommand{\vuz}{\vu z}
\newcommand{\vur}{\vu r}
\newcommand{\vun}{\vu n}
\newcommand{\vut}{\vu t}
\newcommand{\vurho}{\vu{\boldsymbol{\rho}}}
\newcommand{\vuvarrho}{\vu{\boldsymbol{\varrho}}}
\newcommand{\vutheta}{\vu{\boldsymbol{\theta}}}
\newcommand{\vuvartheta}{\vu{\boldsymbol{\vartheta}}}
\newcommand{\vuphi}{\vu{\boldsymbol{\phi}}}
\newcommand{\vuvarphi}{\vu{\boldsymbol{\varphi}}}

%% Differential elements
\newcommand{\ds}{\dd{s}}
\newcommand{\dx}{\dd{x}}
\newcommand{\dy}{\dd{y}}
\newcommand{\dz}{\dd{z}}
\newcommand{\dt}{\dd{t}}
\newcommand{\dr}{\dd{r}}
\newcommand{\drho}{\dd{\rho}}
\newcommand{\dvarrho}{\dd{\varrho}}
\newcommand{\dtheta}{\dd{\theta}}
\newcommand{\dvartheta}{\dd{\vartheta}}
\newcommand{\dphi}{\dd{\phi}}
\newcommand{\dvarphi}{\dd{\varphi}}
\newcommand{\deron}{\partial}
\newcommand{\ddr}{\dd[3]{\vect r}}
\newcommand{\ddp}{\dd[3]{\vect p}}
\newcommand{\ddk}{\dd[3]{\vect k}}

%% Physics complement
\def\diffD{\mathrm{D}}
\DeclareDocumentCommand\Differential{ o g d() }{
     \IfNoValueTF{#2}{
	  \IfNoValueTF{#3}{
	       \diffD\IfNoValueTF{#1}{}{^{#1}}
	  }{
	       \mathinner{\diffD\IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
	  }{
	       \mathinner{\diffD\IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}
	  }
     }
\DeclareDocumentCommand\DD{}{\Differential} 
\DeclareDocumentCommand\Variation{ o g d() }{
     \IfNoValueTF{#2}{
	  \IfNoValueTF{#3}{
	       \Delta \IfNoValueTF{#1}{}{^{#1}}
	  }{
	       \mathinner{\Delta \IfNoValueTF{#1}{}{^{#1}}\argopen(#3\argclose)}}
	  }{
		\mathinner{\Delta \IfNoValueTF{#1}{}{^{#1}}#2} \IfNoValueTF{#3}{}{(#3)}
	  }
     }
\DeclareDocumentCommand\Var{}{\Variation}

%% other commands
\newcommand{\eg}{e.g.}
\newcommand{\etal}{et al}
\newcommand{\ie}{i.e.}
\newcommand{\unit}[1]{\mathrm{~#1}}
\newcommand{\axunit}[1]{\mathrm{~[#1]}}
\newcommand{\angstrom}{\text{\r A}}
\newcommand{\range}{\text{--}}
\newcommand{\E}[1]{\times 10^{#1}}
\newcommand{\simpropto}{\underset{\sim}{\propto}}
\newcommand{\cfill}[1]{\hspace*{0cm}\hfill{#1}\hfill\hspace*{0cm}}
\DeclareDocumentCommand\mean{s m}{
     \IfBooleanTF{#1}
     { % \mean*{}
	  \langle {#2} \rangle
     }{ % \mean{}
	  \left\langle {#2} \right\rangle
     }
}
\newcommand{\ope}[1]{\hat{#1}}
\newcommand{\opevect}[1]{\hat{\vb{#1}}}
\DeclareDocumentCommand\atom{m g g g o}{
     \IfNoValueTF{#5}{
     \IfNoValueTF{#2}{
	  \mathrm{#1}
     }{
     \IfNoValueTF{#3}{
	  \prescript{#2}{}{\mathrm{#1}}
     }{
     \IfNoValueTF{#4}{
	  \prescript{#2}{#3}{\mathrm{#1}}
     }{
	  \prescript{#2}{#3}{\mathrm{#1}}_{#4}
     }}}}{
     \IfNoValueTF{#2}{
	  \mathrm{#1}\text{\textsc{#5}}
     }{
     \IfNoValueTF{#3}{
	  \prescript{#2}{}{\mathrm{#1}\text{\textsc{#5}}}
     }{
     \IfNoValueTF{#4}{
	  \prescript{#2}{#3}{\mathrm{#1}\text{\textsc{#5}}}
     }{
	  \prescript{#2}{#3}{\mathrm{#1}\text{\textsc{#5}}}_{#4}
     }}}}
}
\DeclareDocumentCommand\underbraceset{m g}{
     \IfNoValueTF{#2}{
	  \underbrace{#1}
     }{
	  \underset{#1}{\underbrace{#2}}
     }
}
\DeclareDocumentCommand\overbraceset{m g}{
 \IfNoValueTF{#2}{
	  \overbrace{#1}
     }{
	  \overset{#1}{\overbrace{#2}}
     }
}
\let\eqdef\equiv
\let\ol\overline
\let\ul\underline
\let\name\text
% Note: "cases" should now be used instead of "system"