Time-of-arrival formalism for the relativistic particle

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Abstract
A suitable operator for the time-of-arrival at a detector is defined for the free relativistic particle in (3 + 1) dimensions. For each detector position there exists a subspace of detected states in the Hilbert space of solutions to the Klein - Gordon equation. Orthogonality and completeness of the eigenfunctions of the time-of-arrival operator apply inside this subspace, opening up a standard probabilistic interpretation.