Time-of-arrival formalism for the relativistic particle

Details Time-of-arrival formalism for the relativistic particle Time-of-arrival formalism for the relativistic particle

1996-08-09

arxiv.org/abs/quant-ph/9608013v2

J.Phys.A30:4791-4802,1997

Physics

Quantum Physics

16 pages, no figures, uses LaTeX. The section "Interpretation" has been completely rewritten and some errors corrected

Scientific paper

10.1088/0305-4470/30/13/027

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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