summaryrefslogtreecommitdiffstats
path: root/physics
diff options
context:
space:
mode:
authorbnewbold <bnewbold@robocracy.org>2010-01-24 09:48:25 +0000
committerUser <bnewbold@daemon.robocracy.org>2010-01-24 09:48:25 +0000
commit214bc7f402377bdafea60be508c7194e596ef238 (patch)
treef1950843062d75f5a2fcaf894402defe5160c135 /physics
parent7268485fbc18c538d58471806ba7b38b372249f1 (diff)
downloadknowledge-214bc7f402377bdafea60be508c7194e596ef238.tar.gz
knowledge-214bc7f402377bdafea60be508c7194e596ef238.zip
fixes
Diffstat (limited to 'physics')
-rw-r--r--physics/quantum/fermigas.page3
1 files changed, 2 insertions, 1 deletions
diff --git a/physics/quantum/fermigas.page b/physics/quantum/fermigas.page
index de66ee1..38398d5 100644
--- a/physics/quantum/fermigas.page
+++ b/physics/quantum/fermigas.page
@@ -43,7 +43,8 @@ excited states in the gas. The radius can be derived by calculating the total
volume enclosed: each block has volume $\frac{\pi^3}{l_x l_y
l_z}=\frac{\pi^3}{V}$ and there are N/2 blocks occupied by N fermions, so:
-$$\frac{1}{8}(\frac{4\pi}{3} |k_{F}|^{3})&=&\frac{Nq}{2}(\frac{\pi^{3}}{V})\\|k_{F}|&=&\sqrt{\frac{3Nq\pi^2}{V}}^3=\sqrt{3\pi^2\rho}^3$$
+$$\frac{1}{8}(\frac{4\pi}{3} |k_{F}|^{3}) = \frac{Nq}{2}(\frac{\pi^{3}}{V}) $$
+$$|k_{F}| = \sqrt{\frac{3Nq\pi^2}{V}}^3=\sqrt{3\pi^2\rho}^3$$
$\rho$ is the "free fermion density". The corresponding energy is: