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show tha the potential energy V(r) can be written as a sum of fuctions each ones variable indepented: V(r)=V1(x1)+V2(x2)+V3(x3) , then in the indepented time schrodinger equation, you would have Y(r)=Y1(x1)*Y2(x2)*Y3(x3) and E=E1+E2+E3
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What is V(r) ?
its the potential
i mean what is it's precise form in this case
Have you typed up the question correctly - do you mean 'IF V(r) can be written as V1 + V2 + V3 , then etc ' ?
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