where, f(ξ) is a function that needs to be determined. Substituting equation ( Ψ 0 also infinite. The choice α = 1, however, does not lead to a blow up. The correct form of Ψ(ξ) from ξ = 0 to ∞, that keeps Ψ(ξ) finite at or near ξ = 0 and also makes it vanish at the right boundary (ξ ~ ∞) is therefore ψ(ξ) = e -ξ 2 ξ g(ξ) , where g(ξ) may be chosen as a power series in ξ.