Franz Schwabl Quantum Mechanics 4th Edit · Problem 3.7

The Uncertainty Relation

Physics — Quantum Mechanics · delta-function-potential

Problem

(a) Calculate the bound state and the scattering states for the one-dimensional potential

V(x) = -\lambda\, \delta(x)

with

\lambda \geq 0

. (b) Prove the completeness relation for these states.