1. Find Bα such that limα→∞ Bαe −αr = δ 3 (r) Here, r is the magnitude of the three dimensional vector r (namely, r = |r|) and you should only check the normalization of the delta function.
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Thus we require lim_{α→∞} ∫_{R^3} B_α e^{-α r} d^3r = 1. It suffices to choose B_α so that for each α>0 the integral equals 1. Show more…
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