# Fourier integral / transform ? What is it really?

1. Oct 1, 2004

### student1938

Find phi(k)

I need help with this question as far as what am I looking for and how do I use a Fourier transform cause I think I need one.

student

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2. Oct 1, 2004

### student1938

Any suggestions guys?

3. Oct 1, 2004

### Tide

Set t = 0, multiply both sides by
$$e^{-i k' x}$$
and integrate over x. The integrand
$$e^{i(k-k')x}$$
in the x integral will yield a delta function which lets you evaluate the k integral.

4. Oct 1, 2004

### Dr Transport

try completing the square in the exponential...........

5. Oct 1, 2004

### student1938

If i multiple both sides by exp(-ik'x) the LHS gives exp(-ik'x-(x/2a)^2). I' m not sure what to do with this to simplify it further. Do i have to try to complete the square in this exponential now?

6. Oct 1, 2004

### Tide

Yes, that's what Dr T was suggesting.