Principles of Quantum Mechanics · Problem 5.4.2

The Harmonic Oscillator — R. Shankar

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

Problem

(a)

^*

Calculate

R

and

T

for scattering of a potential

V(x) = V_0 a\delta(x)

. (b) Do the same for the case

V=0

for

|x|>a

and

V=V_0

for

|x|<a

. Assume that the energy is positive but less than

V_0