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pkirwin 2021-03-01 19:02:15 -07:00
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commit 91d169c27f
7 changed files with 25 additions and 11 deletions
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This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 21.1) (preloaded format=pdflatex 2021.2.6) 1 MAR 2021 17:14 This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 21.1) (preloaded format=pdflatex 2021.2.6) 1 MAR 2021 19:02
entering extended mode entering extended mode
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(d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.tex (d:/Users/Speedee/Documents/University/Year5/Winter/ECE456/ProblemSets/Git/ECE_456/PS2/doc.tex
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@ -377,7 +377,15 @@ H(N, 1) = -t0;
\begin{enumerate}[align=left,leftmargin=*,labelsep=1em,label=\bfseries(\alph*)] \begin{enumerate}[align=left,leftmargin=*,labelsep=1em,label=\bfseries(\alph*)]
\item %2a \item %2a
\lipsum[1] Since \(t_0 = \frac{\hbar^2}{2ma^2}\), and \(U_l = -\frac{q^2}{4\pi\varepsilon_0r_l}
+ \frac{l_o(l_o + 1)\hbar^2}{2mr_l^2}\), the middle diagonal elements will have values
\begin{equation*}
\hat{H}_{ll} = \frac{\hbar^2}{ma^2}-\frac{q^2}{4\pi\epsilon_0r_l} + \frac{l_o(l_o + 1)\hbar^2}{2mr_l^2},
\end{equation*}
and the upper and lower diagonals elements will have values
\begin{equation*}
\hat{H}_{l(l\pm1)} = -\frac{\hbar^2}{2ma^2}.
\end{equation*}
\item %2b \item %2b
\lipsum[1] \lipsum[1]
\item %1c \item %1c