A particle in one dimension is in a potential V(x) = Aδ(x - a). Its wavefunction ψ(x) is continuous everywhere. The discontinuity in \(\frac{d \psi}{d x}\) at x = a is
1
\(\frac{2 m}{\hbar^2} A \psi(a)\)
2
\(A(\psi(a)-\psi(-a))\)
3
\(\frac{\hbar^2}{2 m} A\)
4
0