Physics, 24.04.2020 18:47, phebusadrian01

Typically, the interaction potential depends only on the vector r = r1 - r2 between the two particles. In that case the SchrÃ¶dinger equation separates, if we change variables from r1, r2 to r and R = (m1r1 + m2r2) / (m1 + m2) (the center of mass).
(a) Show that r1 = R + (Î¼/m1)r, r2 = R - (Î¼/m2)r, and â½1=(Î¼/m2)â½R +â½r ,â½2 = (Î¼/m1) â½R â â½r, where Î¼ = m1m2 / m1+m2 is the reduced mass of the system.

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Typically, the interaction potential depends only on the vector r = r1 - r2 between the two particle...