An almost simple counterexample to microscopic inversibility

The author adopts definitions for 'reciprocity', 'microscopic inversibility' (usually known as 'microscopic reversibility') and 'detailed balance' in terms of the S matrix. He notes several situations for which microscopic inversibility is obeyed and provide an explicit example for which is not. The validity of microscopic inversibility may depend on the choice of basis. He discusses the implications of these results on the kinetic foundations of thermodynamics.