From 9b56d08066cd2579517813a3f367ea8a74596090 Mon Sep 17 00:00:00 2001 From: Anton Akhmerov <anton.akhmerov@gmail.com> Date: Sat, 5 Mar 2022 17:51:24 +0100 Subject: [PATCH] fix misformatted equations --- docs/4_sommerfeld_model_solutions.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/docs/4_sommerfeld_model_solutions.md b/docs/4_sommerfeld_model_solutions.md index 885d4184..d18bdac9 100644 --- a/docs/4_sommerfeld_model_solutions.md +++ b/docs/4_sommerfeld_model_solutions.md @@ -77,8 +77,8 @@ See hint of the question \begin{gather} -g(\varepsilon)\textrm{d} \varepsilon = 2_s g(k) \textrm{d} k -g(\varepsilon)=2_sg(k(\varepsilon))\frac{\textrm{d} k}{\textrm{d} \varepsilon} +g(\varepsilon)\textrm{d} \varepsilon = 2_s g(k) \textrm{d} k\\ +g(\varepsilon)=2_sg(k(\varepsilon))\frac{\textrm{d} k}{\textrm{d} \varepsilon}\\ g(\varepsilon) = \frac{2_s}{\Gamma(\frac{n}{2})}\left(\frac{L}{\hbar}\sqrt{\frac{m}{2\pi}}\right)^n (\varepsilon)^{\frac{n}{2}-1} \end{gather} @@ -109,7 +109,6 @@ $$ #### Question 3. - \begin{align} E(T)-E(T=0) &= \frac{\pi^2}{6}(k_B T)^2\frac{\partial}{\partial \varepsilon}\left(\varepsilon g(\varepsilon)\right)\bigg|_{\varepsilon=\varepsilon _F}\\ &\approx 8.356 10^8 eV -- GitLab