Quantum gases. The ideal Fermi gas

1. Nov 7, 2009

Petar Mali

Relations for an ideal Fermi gas:

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

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

But in some book books I find

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

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

where $$g$$ is degeneration of spin I
guess.
$$g=2s+1$$

$$\lambda_D=\sqrt{\frac{2 \pi\hbar^2}{mk_BT}}$$

$$f_k(\lambda)=\sum^{\infty}_{n=1}(-1)^{n-1}\frac{\lambda^n}{n^k}$$

$$\lambda=e^{\frac{\mu}{\theta}}$$ - fugacity