another fix
authorhackbard <hackbard@sage.physik.uni-augsburg.de>
Mon, 30 Jun 2008 10:07:09 +0000 (12:07 +0200)
committerhackbard <hackbard@sage.physik.uni-augsburg.de>
Mon, 30 Jun 2008 10:07:09 +0000 (12:07 +0200)
solid_state_physics/tutorial/2_03s.tex

index e592c99..b7f0f7d 100644 (file)
        \LARGE(\int\prod_{{\bf R}}d\bar{{\bf u}}({\bf R})d\bar{{\bf P}}({\bf R})
        \nonumber\\
        &&\times \exp\left[
-       -\sum\frac{1}{2M}{\bf P}({\bf R})^2
+       -\sum\frac{1}{2M}\bar{{\bf P}}({\bf R})^2
        -\frac{1}{4}\sum
        [\bar{u}_{\mu}({\bf R})-\bar{u}_{\mu}({\bf R'})]
        \Phi_{\mu v}({\bf R}-{\bf R'})