Question

Given a real potential V(|x|), and aymptotic form of the wave function ѱ_k^+ (x)→e^(ik∙x)+f(θ,ϕ)∙(exp(ikx))/x, Use the continuity equation and Gauss*s theorem to derive the optical theorem σ_tot=(4π/k)Imf(0) Where σ_tot is the total cross section. Discuss the physical meaning of this reult. Can you explain why it is the scattering amplitude in the forward direction (i,e, θ=0), that enters in the formula above? Can you generalize this reult if V is complex?

Answer 1

To solve this problem the details calculations are given below
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