Question

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

Answer 1

What is V(r) ?

Answer 2

its the potential

Answer 3

i mean what is it's precise form in this case

Answer 4

Have you typed up the question correctly - do you mean 'IF V(r) can be written as V1 + V2 + V3 , then etc ' ?