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ass2: \bar{h} \neq \hbar

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Kees van Kempen
2022-02-22 23:11:33 +01:00
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superconductivity_assignment2_kvkempen.tex
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@ -147,7 +147,7 @@ Reordering and calculating the curl gives:
\item \item
From the derivation of the Ginzburg-Landau theory, we get the following expression for the supercurrent $\vec{J_s}$: From the derivation of the Ginzburg-Landau theory, we get the following expression for the supercurrent $\vec{J_s}$:
\[ \[
\vec{J_s} = -\frac{2e\bar{h}n_s}{m}(\nabla\theta + \frac{2e\vec{A}}{\bar{h}}) \vec{J_s} = -\frac{2e\hbar n_s}{m}(\nabla\theta + \frac{2e\vec{A}}{\hbar})
\] \]
Using the rigid gauge, we set $\theta = 0$. Using the rigid gauge, we set $\theta = 0$.
Next, we can equate the previously found supercurrent for our foil to the Ginzburg-Landau found one and reorder to find $\vec{A}$: Next, we can equate the previously found supercurrent for our foil to the Ginzburg-Landau found one and reorder to find $\vec{A}$: