On the theory of the Larmor clock and time delay

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Abstract
Using the time-dependent scattering theory the authors prove that, in any spatial dimension and for arbitrary spin, the reading of the Larmor clock agrees with the global Eisenbud-Wigner time delay in the limit of an infinitesimal magnetic field. They show that convergence is also achieved at fixed energy (without oscillating terms) in the limit where the spatial switching on the field occurs on a much larger scale than the de Broglie wavelength of the particle. Finally, they investigate the functioning of the spin clock beyond the linear response regime.

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