Start from the 1" order Born approximation result given in Eq. (6.72 or 6.3.3), and showing all work - even integral eva

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Start From The 1 Order Born Approximation Result Given In Eq 6 72 Or 6 3 3 And Showing All Work Even Integral Eva 1 (15.96 KiB) Viewed 37 times

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Start From The 1 Order Born Approximation Result Given In Eq 6 72 Or 6 3 3 And Showing All Work Even Integral Eva 2 (17.38 KiB) Viewed 37 times

Start From The 1 Order Born Approximation Result Given In Eq 6 72 Or 6 3 3 And Showing All Work Even Integral Eva 3 (13.33 KiB) Viewed 37 times

Start from the 1" order Born approximation result given in Eq. (6.72 or 6.3.3), and showing all work - even integral evaluations, etc: a) Derive, in all details, the expression for scattering amplitude for a general spherically symmetric potential V(r'). This means to derive Eq. (6.74 or 6.3.5).
Taking the first term in the expansion, i.e. T=V or, equivalently, y(+)) = |k), is called the first-order Born approximation. In this case, the scattering amplitude is denoted by f(1), where m f(1)(k',k) = 21 | *xe)) (6.72)
We can perform the angular integration in (6.72) explicitly to obtain 2m 1 f)(0) h 2m 1 h2 9 Jo 2 Sea V(r)(efter – e-ter) der on tºrv(r) sin grdr. (6.74)