- #1
nirovanton
- 1
- 0
How do you do a gaussian integral when it contains a heaviside function!?
Very few textbooks cover gaussian integrals effectively. This isn't a big deal as they are easy to locate in integral tables, but something I cannot find anywhere is how to handle a gaussian with a heaviside
heaviside = theta
[tex]
\int_0^\infty \theta(v-b)e^{-av^2}dv
[/tex]
where b is an arbitrary value of v where the heaviside 'turns on'
If anyone can help shed some light on this for me it would be greatly appreciated.
Very few textbooks cover gaussian integrals effectively. This isn't a big deal as they are easy to locate in integral tables, but something I cannot find anywhere is how to handle a gaussian with a heaviside
heaviside = theta
[tex]
\int_0^\infty \theta(v-b)e^{-av^2}dv
[/tex]
where b is an arbitrary value of v where the heaviside 'turns on'
If anyone can help shed some light on this for me it would be greatly appreciated.
Last edited: