Problem.Set.5.soln

Problem.Set.5.soln - Problem Set 5 Assignment 7 For a metal...

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Problem Set 5 Assignment 7: For a metal the electron density would be approximated by the ‘fermi sea’, 0 v 2 m h 3 v f v , v f 3 2 0 1/3 m with m the effective mass of the electron. The equilibrium electron density for a charged plasma at temperature T is given by the Boltzmann distribution 0 v 0 m 2 k B T 3/2 exp mv 2 2 k B T Using these equilibrium densities evaluate the first non-zero correction terms for the electron density, n r , t , and electron current density, j r , t . n r , t i E 0 k k 2 e i k r t 0 4 e 3 m kv i 1 2 1 3 5 kv i 1 2 .. d 0 v dv vdv 0 j e r , t i e 3 m E 0 exp i k r i t v i 1 d 0 v dv d 3 v i 4 e 15 m E 0 exp i k r i t k 2 v 5 i 1 3 d 0 v dv
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This note was uploaded on 12/19/2010 for the course PHYS 423 taught by Professor G. during the Spring '10 term at Missouri S&T.

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Problem.Set.5.soln - Problem Set 5 Assignment 7 For a metal...

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