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% SPINS 2 from Oregon State University %
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\documentclass[12pt]{article}
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% Math formatting
\usepackage{amsmath}
% More math
\usepackage[fleqn,tbtags]{mathtools}
% Physics symbols
\usepackage{physics}
%\usepackage{mdwlist}
% tables
\usepackage{tabularx}
\newcolumntype{L}[1]{>{\hsize=#1\hsize\raggedright\arraybackslash}X}%
\newcolumntype{R}[1]{>{\hsize=#1\hsize\raggedleft\arraybackslash}X}%
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\geometry{top=1.5in,left=1in, right=1in, bottom = 1.5in}
% Useful commands
% Answer in write up
\newcommand{\ans}[1]{\textbf{\color{Black} #1}}
% Write up on the board
%\newcommand{\board}[1]{\textbf{\color{Red} #1}}
% ask question
%\newenvironment{question}{\begin{quotation} \noindent \textbf{\color{Blue} Question}\:\:}{\end{quotation}}
%\newcommand{\ask}[2]{\begin{quotation} \noindent {\color{Blue} \textbf{Question:}\:\: #1} \\ {\color{Purple} #2}\end{quotation}}
% answer
%\newcommand{\ans}[1]{{\color{Purple} #1}}
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\begin{document}
\title{SPINS Lab 2}
\author{Quantum Mechanics}
\date{Fall 2020}
\maketitle
\section*{Table templates}
{ \large Unknown state $\ket{\psi_1}$}
\vspace{3mm}
\renewcommand{\arraystretch}{2}
\begin{tabularx}{\textwidth}{ |c|C{1}|C{1}|C{1}| }
\hline
Probabilities & \multicolumn{3}{c|}{Axis} \\
\hline
Result & $x$ & $y$ & $z$ \\ \hline
Spin up &&& \\ \hline
Spin down &&& \\ \hline
\end{tabularx}
\vspace{1cm}
{ \large Unknown state $\ket{\psi_2}$}
\vspace{3mm}
\renewcommand{\arraystretch}{2}
\begin{tabularx}{\textwidth}{ |c|C{1}|C{1}|C{1}| }
\hline
Probabilities & \multicolumn{3}{c|}{Axis} \\
\hline
Result & $x$ & $y$ & $z$ \\ \hline
Spin up &&& \\ \hline
Spin down &&& \\ \hline
\end{tabularx}
\vspace{2cm}
{ \large Unknown state $\ket{\psi_3}$}
\vspace{3mm}
\renewcommand{\arraystretch}{2}
\begin{tabularx}{\textwidth}{ |c|C{1}|C{1}|C{1}| }
\hline
Probabilities & \multicolumn{3}{c|}{Axis} \\
\hline
Result & $x$ & $y$ & $z$ \\ \hline
Spin up &&& \\ \hline
Spin down &&& \\ \hline
\end{tabularx}
\vspace{1cm}
{ \large Unknown state $\ket{\psi_4}$}
\vspace{3mm}
\renewcommand{\arraystretch}{2}
\begin{tabularx}{\textwidth}{ |c|C{1}|C{1}|C{1}| }
\hline
Probabilities & \multicolumn{3}{c|}{Axis} \\
\hline
Result & $x$ & $y$ & $z$ \\ \hline
Spin up &&& \\ \hline
Spin down &&& \\ \hline
\end{tabularx}
\vspace{1cm}
{ \large State $\ket{\psi}$ with magnet $B$ = {\makebox[4cm]{\hrulefill}}}
\vspace{3mm}
\renewcommand{\arraystretch}{2}
\begin{tabularx}{\textwidth}{ |c|C{1}|C{1}|C{1}| }
\hline
Probabilities & \multicolumn{3}{c|}{Axis} \\
\hline
Result & $x$ & $y$ & $z$ \\ \hline
Spin up &&& \\ \hline
Spin down &&& \\ \hline
\end{tabularx}
\vspace{2cm}
{ \large Spin 1/2 Interferometer}
\vspace{3mm}
\begin{tabularx}{\textwidth}{|C{1}|C{1}|C{1}|C{1}|C{1}|C{1}|}
\hline
\multicolumn{2}{|C{2}|}{Beams used} & \multicolumn{2}{C{2}|}{Theory} & \multicolumn{2}{C{2}|}{Experiment} \\
SG1 & SG2 & $\mathcal{P}_+$ & $\mathcal{P}_-$ & $\mathcal{P}_+$ & $\mathcal{P}_-$ \\ \hline
& $\ket{+}_x$ &&&& \\ \cline{2-6}
$\ket{+}$ & $\ket{-}_x$ &&&& \\ \cline{2-6}
& $\ket{+}_x, \, \ket{-}_x$ &&&& \\ \hline
& $\ket{+}_x$ &&&& \\ \cline{2-6}
$\ket{-}$ & $\ket{-}_x$ &&&& \\ \cline{2-6}
& $\ket{+}_x, \, \ket{-}_x$ &&&& \\ \hline
\end{tabularx}
\end{document}