Dirac Delta Function

Definition

\(\delta(x-x_0) = \frac{1}{2\pi}\int_{-\infty}^\infty d\kappa\exp(i\kappa(x-x_0))\)

\(\int_\mathbb{R}\delta(x-x_0)f(q)dq = f(x_0)\)

Representations

  • \(\delta(k)=\frac{1}{2\pi}\int_{-\infty}^\infty dx\exp(\pm ikx)\)

Author: Christian Cunningham

Created: 2023-06-25 Sun 02:35

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