Does additivity apply to Fourier transform of the wave function

[Heimisson]

I was wondering if this is correct:

$$\phi$$(k-a)=$$\phi$$(k)-$$\phi$$(a)

Where k=p/h (h bar that is) and a is some constant and $$\phi$$ is the Fourier transform of a wave function (momentum function).

I know that if I had some real formula for $$\phi$$ I could just test this but the problem isn't like that.

I fairly recently started studying quantum mechanics so I'm still in that stage of having a bit of trouble connecting the physics and mathematics.

thanks

 

[kuruman]

A typical wavefunction is a plane wave expressed as e^ikx. Is

e^ik(x-a) = e^ikx - e^ika?

 

[Heimisson]

this was a stupid question...never mind