dorsal/arxiv
View SchemaTime-of-arrival formalism for the relativistic particle
| Authors | J. Leon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608013 |
| URL | https://arxiv.org/abs/quant-ph/9608013 |
| DOI | 10.1088/0305-4470/30/13/027 |
| Journal | J.Phys.A30:4791-4802,1997 |
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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"abstract": "A suitable operator for the time-of-arrival at a detector is defined for the\nfree relativistic particle in 3+1 dimensions. For each detector position, there\nexists a subspace of detected states in the Hilbert space of solutions to the\nKlein Gordon equation. Orthogonality and completeness of the eigenfunctions of\nthe time-of-arrival operator apply inside this subspace, opening up a standard\nprobabilistic interpretation.",
"arxiv_id": "quant-ph/9608013",
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"doi": "10.1088/0305-4470/30/13/027",
"journal_ref": "J.Phys.A30:4791-4802,1997",
"title": "Time-of-arrival formalism for the relativistic particle",
"url": "https://arxiv.org/abs/quant-ph/9608013"
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