Thread: Quantum Scattering

Can someone tell me how did they get equation 15.5.7?

http://i.imgur.com/kge1Rp9.jpg

I substituted values in equation 15.5.6 and got

http://i.imgur.com/Qf4EkAB.gif

Please tell me what to do next.

There is a typo in 15.5.6. The quantity which appears on the RHS is not , it is simply the coefficient in the expansion of . In other words, 15.5.6 should read

You can now make your substitution and equate coefficients of . Does that help?

when I make substitutions I still don't get equation 15.5.7. please notice the second term exponential - it's different. And there two equations not one.

Originally Posted by NewtonApple

when I make substitutions I still don't get equation 15.5.7. please notice the second term exponential - it's different. And there two equations not one.

OK, another hint. When I make the suggested substitution

on each side of the (corrected version of) 15.5.6, the coefficient of on the left-hand side becomes

and the coefficient of on the right-hand side becomes

The coefficients of must be equal in these two expressions, as must the coefficients of . That gives you two equations.

Oops, I mean the coefficients of .

thanks a lot! I think I got it now.