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--- hw1 [2016/03/24 16:24] – created janet
+++ hw1 [2016/03/24 16:46] – [Sommerfeld model] janet
@@ Line 4: / Line 4: @@
-===== Sommerfield model =====
+===== Sommerfeld model =====
-**a)** Assuming the Sommerfield model, and starting from a sketch of allowed traveling wave states in k-space, show that //n//_3d = (//k//_F)³/3π².
+**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.
-**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).
+**b)** Do the same thing for a one-dimensional electron gas, i.e. relate //n//<sub>//1d//</sub> to //k//<sub>//F//</sub> (now the electron traveling waves are described by only //k//<sub>//x//</sub>).
+**c)** Estimate //n//<sub>//3d//</sub> and //E//<sub>//F//</sub> for gold using physical/chemical parameters such as density and electron configuration.
+    * A&M 2.1 (2-d problem)
+    * Kittel 6.10
-**c)** Estimate //n_3d// and //E//_F for gold using physical/chemical parameters such as density and electron configuration.