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%\newpage
%\section{rename me --- pre-Wehr material from here down}
%
%Class mech vs. quantum mech:  former has (1D here xxx change to 3D) $x(t)$ with
%IC and
%$$
%m \frac{d^2x}{dt^2} = -\D V/\D x;
%$$
%latter has $\Psi(x)$ and
%$$
%i \hbar \frac{d\Psi}{dt} = - \frac{\hbar^2}{2m} \frac{\D^2\Psi}{\D x^2} + V\Psi.
%$$
%
%References:
%\begin{itemize}
%\item Probability:
%	\begin{itemize}
%	\item grimmett and stirzaker
%	\item fristedt and gray
%	\item Griffiths section 1.3
%	\item my prb notes.
%	\end{itemize}
%\item Quantum mechanics:
%	\begin{itemize}
%	\item griffiths
%	\end{itemize}
%\end{itemize}
%
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%\subsection{Complex probability functions}
%
%$|\Psi(x,t)|^2$, i.e.
%$\Psi(x,t)\,\Psibar(x,t)$, is a real probability function.
%
%integral over $[a,b]$.
%
%integral over $(-\infty, +\infty)$.
%
%Note we do \emph{not} have IID when measuring the same particle repeatedly,
%due to collapse of the wave function.
%
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%\section{QM basics }
%
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%\subsection{Normalization}
%
%normalization and square integrability
%
%annotate Griffiths' p. 15 proof with ref to FTC and other math thms.
%
%\ldots Jiminy Christmas, Griffits is \emph{exactly} what I want \ldots do these
%notes need to even be here?
%
%%% ----------------------------------------------------------------
%\subsection{Wave functions and operators}
%
%$p$ and $q$; others from those.
%
%bra-ket notation?
%
%$$p = -i \hbar \D/\Dx.$$
%
%$\langle \Psi^* | Q | \Psi \rangle$ --- Griffiths takes this as an axiom
%for now.
%
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%\section{Section title goes here}
%
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%\section{Section title goes here}