A recollection of Souriau's derivation of the Weyl equation via geometric quantization

Abstract

These notes merely intend to memorialize Souriau's overlooked achievements regarding geo\-metric quantization of Poincar\'e-elementary symplectic systems. Restricting attention to his model of massless, spin-, particles, we faithfully rephrase and expound here Sections (18.82)--(18.96) & (19.122)--(19.134) of his book SSD edited in 1969. Missing details about the use of a preferred Poincar\'e-invariant polarizer are provided for completeness.

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