Feynman's proof of the commutativity of the Calogero integrals of motion
Abstract
During his last year of life Feynman became interested in integrable models. In the course of his study of one dimensional particles with inverse square potentials (the Calogero model) he came up with a field theoryinspired proof of the commutativity of the integrals of motion of the system, which remained unpublished. I present an exact transcript of the proof together with a scan of the first page of Feynman's original manuscript and some historical background.
 Publication:

Annals of Physics
 Pub Date:
 April 2019
 DOI:
 10.1016/j.aop.2019.02.005
 arXiv:
 arXiv:1812.03843
 Bibcode:
 2019AnPhy.403..145P
 Keywords:

 Integrable models;
 Feynman;
 Physics  History and Philosophy of Physics;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 10 pages plus one scanned page