Franz Schwabl Quantum Mechanics 4th Edit · Problem 3.19

Angular Momentum

Physics — Quantum Mechanics · delta-potential-transmission-amplitude

Problem

Determine the transmission amplitude

S(E)

for the one-dimensional attractive

\delta

-potential

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

. Determine the poles of

S(E)

and discuss their physical significance.