Consider two electrons in the same spin state, interacting through a short range potential given by 1'b, lit-'1 iI-'sl '1 '1 Vlmlt'ltl = V{|31 ml} ={ t} elsewhere where Va is a real, positive number and [1 is also a real, positive number that specifies a range within which the two electrons interact with each other. 1t'ou can solve this problem by writing down the full Schrodinger equation, 2 2 (_ i _ 231E453: + V(31:32})1P{m1532}= Emil-*1, $2] and separate it into two uncoupled equations one for the center of mass coordinate, X = Bari:35: and the other for the relative coordinate, m = $1 mg. Let us assume the center of mass momentum is zero and ignore the center of mass equation. Calculate the lowest possible energy ofthis two-electron system for the case where VI] = I'D EV and o = 1 nm. Give your answer in unit och. Answers within 5% errors will be considered correct. Hm t: Note that the energyr woul'd' ha we a negative value between 10 e V and E V