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Quantum gases. The ideal Fermi gas

  1. Nov 7, 2009 #1
    Relations for an ideal Fermi gas:

    [tex]\frac{P}{k_BT}=\frac{1}{\lambda_D^3}f_{5/2}(\lambda)[/tex]

    [tex]\frac{1}{\upsilon}=\frac{1}{\lambda_D^3}f_{3/2}(\lambda)[/tex]

    But in some book books I find


    [tex]\frac{P}{k_BT}=\frac{g}{\lambda_D^3}f_{5/2}(\lambda)[/tex]

    [tex]\frac{1}{\upsilon}=\frac{g}{\lambda_D^3}f_{3/2}(\lambda)[/tex]

    where [tex]g[/tex] is degeneration of spin I
    guess.
    [tex]g=2s+1[/tex]

    Can you tell me something about this

    [tex]\lambda_D=\sqrt{\frac{2 \pi\hbar^2}{mk_BT}}[/tex]

    [tex]f_k(\lambda)=\sum^{\infty}_{n=1}(-1)^{n-1}\frac{\lambda^n}{n^k}[/tex]

    [tex]\lambda=e^{\frac{\mu}{\theta}}[/tex] - fugacity
     
  2. jcsd
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