A Modern Approach to Quantum Mechanics · Problem 6.21

The One-Dimensional Harmonic Oscillator — John S. Townsend

Physics — Quantum Mechanics · scattering-delta-function-barrier

Problem

Calculate the reflection and transmission coefficients for scattering from the potential energy barrier

\frac{2m}{\hbar^2} V(x) = \frac{\lambda}{b}\delta(x)

Note the discussion in Problem 6.19 on the boundary conditions.