- #1

gionole

- 281

- 24

It's shown to be as ##\delta (x) = 0## when ##x \neq 0## and ##\delta (x) = \infty## when ##x=0##. I get that it's not a traditional sense function, because if I try to take ##\int \delta(x) dx##, we got ##0## times ##\infty## which is undefined.

Then some people say that this is not a dirac definition and it's ##\int f(x) \delta(x) dx = f(0)##. Then some say that it's a "distribution". But somehow, in the end, I understood nothing even though I read a lot. I think all these different representations make me confused more.

Could we engage in this forum back-and-forth to help me understand this somehow ? As an example, where do I start from ? I tried starting it from point particle, but I really couldn't understand why ##\int f(x) \delta(x) dx = f(0)## is correct or how the integral is 1.