General

Some Physics Help

Okay so I have this physics problem on the momentum space representation of wavefunctions. I already made all the necessary physical arguments; given a wavefunction in momentum space, which must be normalized, the Fourier Transform into the position space must not affect its normalization in position space.

So I defined a somewhat arbitrary wavefunction in momentum space (it's a pretty generic form) and had to solve for N as shown in the link below:
[url=http://i286.photobucket.com/albums/ll92/cb000/MomentumSpaceproblem.png]Here it is.[/url]

I'm very confident in my physical arguments, but when it comes to solving for N, I can't seem to make it normalize in the position space. When I run the momentum space wavefunction through the Fourier Transform, the value I derived for N doesn't seem to normalize properly.

This is more of a number (variable) crunching problem than a physics problem, and I was never really good with those kinds of stuff. I know there are some calculus students on Basilmarket who might be more mathematically oriented than I am and could properly solve for N. While I know it's unreasonable to ask people here to do the physics for me (hence I've already done the physical portions), I'm confident that the mathematics required isn't very advanced.

So I guess this is more of a math problem than a physics problem, and I'd appreciate it if some mathematician could succeed where I have failed.