deletions | additions       diff --git a/Now_we_treat_specifically_the__.tex b/Now_we_treat_specifically_the__.tex  index a2a079c..74f08c0 100644  --- a/Now_we_treat_specifically_the__.tex  +++ b/Now_we_treat_specifically_the__.tex 
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\begin{multline}  H=\sum_{k\alpha\sigma} \epsilon_{\alpha k\sigma} c^\dagger_{\alpha k\sigma} c_{\alpha k\sigma} + \epsilon_{d\sigma} n_{d\sigma}  \\  + E_C (n_{d\sigma}-n})^2 (n_{d\sigma}-n})  \end{multline}