The three lowest eigenstates of some system are denoted by ø1 (x), ¢2 (x) and o3 (x) with corresponding eigenvalues E1, E2 and E3. The wavefunction V(x) is a superposition of the three eigenstates such that V(x) N[1 (x)+3¢2(x)+ 203 (x)], where N is a normalization factor. Assuming that the three eigenstates 01 (x), 2 (x) and o3 (x) are normalized and their eigenvalues are non-degenerate, what is the correct value for the normalization constant N?

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