Nambu and the Ising Model
Lars Brink, Pierre Ramond
TL;DR
This paper reviews Nambu's 1947 work on the Ising model, highlighting his early formulation and solution of the eigenvalue problem in crystal statistics, emphasizing his overlooked contributions to statistical physics.
Contribution
It uncovers and discusses Nambu's original 1947 solution to the Ising model, revealing a significant but previously forgotten insight in the history of statistical mechanics.
Findings
Nambu's 1947 eigenvalue formulation of the Ising model
Identification of overlooked historical insights by Nambu
Historical analysis of Nambu's contributions to statistical physics
Abstract
In 2021, to mark the occasion of 2021 was Y\^oichir\^o Nambu's birth centenary, we engaged in writing a historical/scientific description of his most incisive papers. Nambu was the humblest genius we have known, and we expected to find some of his great but forgotten insights. We found one, written in 1947: ``A Note on the Eigenvalue Problem in Crystal Statistics", where he formulates and solves the Ising model in a -dimensional Hilbert space
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Taxonomy
TopicsHistory and advancements in chemistry