Learning goals

src/lecture_2.md

@@ -8,24 +8,17 @@ from common import draw_classic_axes, configure_plotting
 configure_plotting()
 ```
 
-# Lecture 2A & 2B – Free electron model
+# Lectures 2A & 2B – Drude theory and the free electron model
 _(based on chapters 3–4 of the book)_  
 Exercises 3.1, 3.3, 4.2, 4.5, 4.6, 4.7
 
-The learning goals of lecture 2A are to understand:
+!!! summary "Learning goals"
 
-- the basics of 'Drude theory', describing electron motion in metals.
-- how Drude theory predicts the generation of a 'Hall voltage' for electrons moving through a conductor in an electric and a magnetic field.
-- central terms such as mobility and the Hall resistance.
-
-The learning goals of lecture 2B are to understand:
-
-- how to calculate the electron density of states in 1D, 2D, and 3D using the Sommerfeld free-electron model.
-- how to express the total number and energy of particles in a system in terms of an integral over k-space.
-- how to use the Fermi function to extend the previous learning goal to finite T.
-- how to calculate the electron contribution to the specific heat of a solid.
-- central terms such as the Fermi energy, Fermi temperature, and Fermi wavevector.
+    After this lecture you will be able to:
 
+    - discuss the basics of 'Drude theory', which describes electron motion in metals.
+    - use Drude theory to analyze transport of electrons through conductors in electric and magnetic fields.
+    - describe central terms such as the mobility and the Hall resistance.
 
 ### Drude theory
 Ohm's law states that $V=IR=I\rho\frac{l}{A}$. In this lecture we will investigate where this law comes from. We will use the theory developed by Paul Drude in 1900, which is based on three assumptions:
@@ -93,6 +86,18 @@ where $R_{\rm H}=-\frac{1}{ne}$ is the _Hall resistance_. So by measuring the Ha
 While most materials have $R_{\rm H}>0$, interestingly some materials are found to have $R_{\rm H}<0$. This would imply that the charge carriers either have a positive charge, or a negative mass. We will see later (chapter 17) how to interpret this.
 
 ### Sommerfeld theory (free electron model)
+
+!!! summary "Learning goals"
+
+    After this lecture you will be able to:
+    
+    - calculate the electron density of states in 1D, 2D, and 3D using the Sommerfeld free-electron model.
+    - express the number and energy of particles in a system in terms of integrals over k-space.
+    - use the Fermi distribution to extend the previous learning goal to finite T.
+    - calculate the electron contribution to the specific heat of a solid.
+    - describe central terms such as the Fermi energy, Fermi temperature, and Fermi wavevector.
+
+
 Atoms in a metal provide conduction electrons from their outer shells (often s-shells). These can be described as waves in the crystal, analogous to phonons. Hamiltonian of a free electron:
 
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