fixed B/2
[lectures/latex.git] / solid_state_physics / tutorial / 2_01s.tex
index 5e23232..22abb78 100644 (file)
               \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}