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Time-of-arrival formalism for the relativistic particle

J. Leon
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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.

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J. Leon. 1996-11-26. Time-of-arrival formalism for the relativistic particle. https://doi.org/10.1088/0305-4470/30/13/027

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