# Questions tagged [dirac-delta-distributions]

Distributions are generalized functions, such as, e.g., the Dirac delta function. DO NOT USE THIS TAG for statistical probability distributions, profiles, graphs, plots, etc.

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### Why curl of Dirac string attached to Dirac monopole is zero?

So let we have a magnetic field which is $$B_\mu=\frac{1}{2}\frac{x_\mu}{|x|^3}-2\pi\delta_{3\mu}\theta(x_3)\delta{(x_1)}\delta{(x_2)}$$ where $\theta$ is step function and $\delta{(x_\mu)}$ is dirac ...
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### Differential form of Gauss's law from Coulomb's law in spherical coordinates [duplicate]

Coulomb's law for the static electric field of a point charge is given by $$\overrightarrow{E}=\frac{1}{4\pi\epsilon_0}\frac{q}{r^2}\hat{r}$$ Now if we take the divergence of both sides of the above ...
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### Dirac delta and covariance [duplicate]

Is there a covariant form of the Dirac delta function? And how to build a covariant form of an identity that contains Dirac delta? To be more precise, what I am looking for is Some distribution that ...
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### What does a 4+1D wave look like at the light cone?

I need help making sense of a few comments from under this answer. I think it’s best if I reproduce the comments below: “The Green's function for the wave equation in even spatial dimensions is ...
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### Interpretation and applications of Sokhotski–Plemelj theorem in physics

Sokhotski–Plemelj theorem states: $$\tag{1} \frac{1}{x + i0} = \text{P}\frac 1 x - i \pi\delta(x)$$ I have seen this theorem being used in QFT and in non relativistic QM (collision theory, Green ...