A Modern Approach to Quantum Mechanics · Problem 13.6

Photons and Atoms — John S. Townsend

Physics — Quantum Mechanics · born-approximation-inverse-square-potential

Problem

Use the Born approximation to determine the differential cross section for the potential energy

V = \frac{C}{r^2}

where

C

is a constant, corresponding to a

1/r^3

force. Note: The result depends on

\hbar

, so it is not the same as the classical result.