Differences
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| Both sides previous revision Previous revision Next revision | Previous revision Next revisionBoth sides next revision | ||
| 수학:디락_델타_함수 [2016/05/24 16:13] – admin | 수학:디락_델타_함수 [2016/05/24 16:14] – admin | ||
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| \begin{eqnarray} | \begin{eqnarray} | ||
| \frac{1}{2\pi} \int_{-\infty}^\infty e^{ikx} dk &=& \lim_{\epsilon\rightarrow 0} \left[ \frac{1}{2\pi} \int_0^\infty e^{ikx-\epsilon x} dk + \frac{1}{2\pi} \int_{-\infty}^0 e^{ikx+\epsilon x} dk \right]\\ | \frac{1}{2\pi} \int_{-\infty}^\infty e^{ikx} dk &=& \lim_{\epsilon\rightarrow 0} \left[ \frac{1}{2\pi} \int_0^\infty e^{ikx-\epsilon x} dk + \frac{1}{2\pi} \int_{-\infty}^0 e^{ikx+\epsilon x} dk \right]\\ | ||
| - | &=& \lim_{\epsilon\rightarrow 0} \left[ \frac{1}{\epsilon+ix} + \frac{1}{\epsilon-ix} \right]\\ | + | &=& \lim_{\epsilon\rightarrow 0} \frac{1}{2\pi} \left[ \frac{1}{\epsilon+ix} + \frac{1}{\epsilon-ix} \right]\\ |
| &=& \lim_{\epsilon\rightarrow 0} \frac{\epsilon}{\pi(\epsilon^2 + x^2)} | &=& \lim_{\epsilon\rightarrow 0} \frac{\epsilon}{\pi(\epsilon^2 + x^2)} | ||
| \end{eqnarray} | \end{eqnarray} | ||
| Line 44: | Line 44: | ||
| 이라고 놓는다. | 이라고 놓는다. | ||
| + | ======함께 보기====== | ||
| + | [[: | ||