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# Physics > History and Philosophy of Physics

# Title: Feynman's proof of the commutativity of the Calogero integrals of motion

(Submitted on 6 Dec 2018)

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up with a field theory-inspired proof of the commutativity of the integrals of motion of the system, which remained unpublished.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.

## Submission history

From: Alexios P. Polychronakos [view email]**[v1]**Thu, 6 Dec 2018 19:00:04 GMT (711kb,D)

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