Time-of-arrival formalism for the relativistic particle

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  • 9 August 1996
Abstract
A suitable operator for the time-of-arrival at a detector is defined for the free relativistic particle in 3+1 dimensions. There exists a physical subspace of the Hilbert space of solutions to the Klein Gordon equation for each detector position. Orthogonality and completeness of the eigenfunctions of this operator -opening up a standard probabilistic interpretation- apply inside each of these subspaces. The comparison of the results of different detectors raises new issues of interpretation.

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