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hw1 [2016/03/24 16:24] – created janethw1 [2016/03/24 16:26] janet
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-===== 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//_3d = (//k//_F)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//_1d to //k//_F (now the electron traveling waves are described by only //k//_x).
  
 **c)** Estimate //n_3d// and //E//_F for gold using physical/chemical parameters such as density and electron configuration. **c)** Estimate //n_3d// and //E//_F for gold using physical/chemical parameters such as density and electron configuration.
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 +    * Ashcroft & Mermin - 2-d problem
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hw1.txt · Last modified: 2020/03/06 09:14 by 127.0.0.1