Quantum mechanics - born approximation algebra

[sxc656]

Hi, I get an a^4 whilst the answer has an a^2. Where am i going wrong? Is the delta function throwing a spanner in my work?

see attachments for question/equations and my attempt.

Thanks

 

[pellman]

I think your calculation is correct with the a^4. If you check the units in your answer (with p having units of distance^-1.. since it should really be k instead of p), you correctly get units of area. The whole calculation looks ok to me.

 

[sxc656]

I think your calculation is correct with the a^4. If you check the units in your answer (with p having units of distance^-1.. since it should really be k instead of p), you correctly get units of area. The whole calculation looks ok to me.

Thanks:)