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--- hw1 [2016/03/24 16:26] – janet
+++ hw1 [2020/03/06 09:14] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
 ====== Homework #1  ======
+PH 671 - Spring 2016, //Due 5pm on Friday, Week 1//
-//Due 5pm on Friday Week 1//
+===== 1. Sommerfeld model (3d FEG)=====
+**a)** Assuming the Sommerfeld model, and starting from a sketch of allowed traveling wave states in k-space, show that //n//<sub>//3d//</sub> = (//k//<sub>//F//</sub>)³/3π².
-===== Sommerfeld model =====
+**b)** Estimate //n//<sub>//3d//</sub> and //E//<sub>//F//</sub> for gold using physical/chemical parameters such as density and electron configuration.
-**a)** Assuming the Sommerfeld model, and starting from a sketch of allowed traveling wave states in k-space, show that //n//_3d = (//k//_F)³/3π².
+===== 2. 2d FEG =====
+A&M 2.1 (a)-(d)
-**b)** Do the same thing for a one-dimensional electron gas, i.e. relate //n//_1d to //k//_F (now the electron traveling waves are described by only //k//_x).
+===== 3. Maximum surface resistance =====
+ Kittel (8th ed) 6.10
-**c)** Estimate //n_3d// and //E//_F for gold using physical/chemical parameters such as density and electron configuration.
-    * Ashcroft & Mermin - 2-d problem