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joaosantossilva
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- Homework Statement
- Show that for a potential of type 𝑉 (𝑟⃗) = 𝑔𝛿 (𝑟⃗), where 𝑔 is a constant and 𝛿 (𝑟⃗) is the delta function of Dirac 3D. Using the Born approximation, determine the scattering amplitude and derive an expression for 𝑔 so that the scattering length is b.
- Relevant Equations
- f(θ) = C ∫ dr rV(r)sin(qr)
I tried to calculate the Fourier transform to get the amplitude, but I got lost