A classical spectral theorem in bimolecular collisions

摘要

A proof of a classical spectral theorem recently conjectured by P. Brumer, D. E. Fitz, and D. Wardlaw lsqb;J. Chem. Phys. 72, 386 (1980)rsqb; is provided. The theorem states that the amount of time spent by a set of classical trajectories in phase space is proportional to the volume in phase space swept out during that time. Implications of the theorem are briefly discussed.