X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=solid_state_physics%2Ftutorial%2F2_01s.tex;h=22abb78af12bee66fb6baec09b2bbaf333f17f3a;hp=a89285334154eae2075e616659fcb51e12e032eb;hb=d3d17a59ba1873d0031217cac54e65fb13adfe1f;hpb=a548ec888564c4aca659f187c41f3f995842a7f6

diff --git a/solid_state_physics/tutorial/2_01s.tex b/solid_state_physics/tutorial/2_01s.tex
index a892853..22abb78 100644
--- a/solid_state_physics/tutorial/2_01s.tex
+++ b/solid_state_physics/tutorial/2_01s.tex
@@ -92,18 +92,18 @@
 	       \left(0,0,B\right)$\\
 	      Note: $\nabla_r{\bf A}=0$
         \item $
-	      H_{kin}'=\frac{i\hbar e}{2m}\left(
+	      H_{kin}'=\frac{i\hbar e}{2m}\frac{B}{2}\left(
 	       x\frac{\partial}{\partial y}-y\frac{\partial}{\partial x}
 	                                  \right)+\frac{e^2B^2}{8m}(x^2+y^2)
 	      $\\
 	      $
 	       L_z=x\frac{\partial}{\partial y}-y\frac{\partial}{\partial x}
-	       \Rightarrow  H_{kin}'=\frac{i\hbar e}{2m}L_z+
+	       \Rightarrow  H_{kin}'=\frac{i\hbar e}{2m}\frac{B}{2}L_z+
 	       \frac{e^2B^2}{8m}(x^2+y^2)
 	      $
         \item $\chi=-\frac{1}{V}\mu_0\frac{\partial^2 E}{\partial B^2}
 	       \Rightarrow$
-	      only second term contributes to $\chi$!
+	      only second term contributes to $\chi$!\\
 	      $\chi=-\frac{1}{V}\mu_0\frac{e^2}{4m}<\phi|(x^2+y^2)|\phi>$
 	\item $<\phi|x^2|\phi>=<\phi|y^2|\phi>=\frac{1}{3}<\phi|r^2|\phi>$\\
 	      $\Rightarrow \chi=-\frac{1}{V}\mu_0\frac{e^2}{6m}