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Wavefunction of independent free electron gas at finite temperature

 
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Jan7-09, 10:14 AM   #1
 

Wavefunction of independent free electron gas at finite temperature


At T=0 the wave function of an independent free electron gas is
[tex]
\psi=\prod_{|k|<k_F} c_k^\dag|0>
[/tex]

What would be the wave function at T>0? How to include the Fermi factor?

(or do you really need density matrices?)
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