Feynman's proof of the commutativity of the Calogero integrals of motion
arXiv:1812.03843 · doi:10.1016/j.aop.2019.02.005
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-type potentials (the Calogero class of models) he came up with a field theory-inspired proof of the commutativity of the integrals of motion of the system, which remained unpublished.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.
arXiv comment10 pages plus one scanned page