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Thread: Quantum Scattering

  1. #1 Quantum Scattering 
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    Can someone tell me how did they get equation 15.5.7?

    http://i.imgur.com/kge1Rp9.jpg
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  2. #2  
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    I substituted values in equation 15.5.6 and got

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

    Please tell me what to do next.
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  3. #3  
    btr
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    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?
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  4. #4  
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    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.
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  5. #5  
    btr
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    Quote Originally Posted by NewtonApple View Post
    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.
    Last edited by btr; 06-08-2014 at 12:02 PM. Reason: Spelling.
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  6. #6  
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    Oops, I mean the coefficients of .
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  7. #7  
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    thanks a lot! I think I got it now.
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