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=5e23232119761f750cf514cd2a41e1f4b2018b3d;hb=d3d17a59ba1873d0031217cac54e65fb13adfe1f;hpb=718dcd004a1696ab5bd703b3d6717cffa311c2ea diff --git a/solid_state_physics/tutorial/2_01s.tex b/solid_state_physics/tutorial/2_01s.tex index 5e23232..22abb78 100644 --- a/solid_state_physics/tutorial/2_01s.tex +++ b/solid_state_physics/tutorial/2_01s.tex @@ -92,13 +92,13 @@ \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}