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math-ph2026
Weyl-type theorems in Galilei and Carroll geometry
Philip K. Schwartz, James Read, Quentin Vigneron
A classic theorem of Weyl (1921) states that a Weyl metric -- a natural generalisation of a pseudo-Riemannian metric -- is uniquely determined by its conformal and projective struc…
math-ph2020
Classical perspectives on the Newton--Wigner position observable
Philip K. Schwartz, Domenico Giulini
This paper deals with the Newton--Wigner position observable for Poincaré-invariant classical systems. We prove an existence and uniqueness theorem for elementary systems that para…