# Fourier transform of a Gaussian

## Homework Statement

I need to have the Fourier transform of a Gaussian

## The Attempt at a Solution

∫(exp[-ax^2])(exp[-ikπx]) dx

I tried by braking the last exponential into sine and cosine terms.The sine term is odd and it cancels.Then,I cannot evaluate the remaining part.Please help.

Dick
Homework Helper
Don't do that. Combine the exponentials, complete the square in x and do a change of variables.

OK,what I am getting is a standard gamma function type of integral(that I can find) and the 2nd part is an ordinary constant exponential.
So,is this what you meant?I hope there is no more subtlity in this problem.

Dick