Matteo Cantiello edited Magnetic Trapping.tex  about 9 years ago

Commit id: af8066a776973ec98c78515b07a949bdf2826c66

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The degree of reflection is determined by the tunneling integral through the evanescent region. The transmission coefficient is   \begin{equation}\label{eq:integral}  T = \exp{\int^{r_2}_{r_1} i k_r dr} \simeq \exp{\int^{r_2}_{r_1} - \frac{\sqrt{ \ell ( \ell +1)}}{r} \frac{\sqrt{l(l+1)}}{r}  dr } \, , \end{equation}  where $r_1$ and $r_2$ are the boundaries of the evanescent region (in this case, the upper boundary occurs where $\omega