X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=solid_state_physics%2Ftutorial%2F2_02s.tex;fp=solid_state_physics%2Ftutorial%2F2_02s.tex;h=8f3eda0a6f9168c4148591dc175493d7b5df38cb;hp=8c121964d7286c2995d13b8143baeb717a7c366e;hb=e53bf68c01b1f2408f15dcc155ca0715fdf7aa20;hpb=33ca95b143e3c667847d4edb2e0ffdd0ff4cd8c9 diff --git a/solid_state_physics/tutorial/2_02s.tex b/solid_state_physics/tutorial/2_02s.tex index 8c12196..8f3eda0 100644 --- a/solid_state_physics/tutorial/2_02s.tex +++ b/solid_state_physics/tutorial/2_02s.tex @@ -55,7 +55,7 @@ and $\lambda$: London penetration depth. \Rightarrow dr=\lambda dx$, $r=\lambda x$ $\Rightarrow I_c=j_c(R)2\pi \lambda^2 \exp(-R/\lambda) \int_0^R d(\frac{r}{\lambda}) - \, \frac{r}{\lambda} \exp(\frac{r}{\lambda})$ + \, \frac{r}{\lambda} \exp(\frac{r}{\lambda})$\\ Integration by parts: $\int uv' = uv - \int vu'$\\ $\int xe^x dx = xe^x-\int e^x dx=xe^x-e^x+c=e^x(x-1)+c$\\ $\Rightarrow