Using a normalized trial wavefunction \(\psi(x)=\sqrt{α} e^{-α|x|}\) (α is a positive real constant) for a particle of mass m in the potential V(x) = -λδ(x), (λ > 0), the estimated ground state energy is
1
\(-\frac{m λ^2}{\hbar^2}\)
2
\(\frac{m λ^2}{\hbar^2}\)
3
\(\frac{m λ^2}{2 \hbar^2}\)
4
\(-\frac{m λ^2}{2 \hbar^2}\)