dorsal/arxiv
View SchemaTimes of arrival: Bohm beats Kijowski
| Authors | M Ruggenthaler, G Gruebl, S Kreidl |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504185 |
| URL | https://arxiv.org/abs/quant-ph/0504185 |
| DOI | 10.1088/0305-4470/38/39/010 |
Abstract
We prove that the Bohmian arrival time of the 1D Schroedinger evolution violates the quadratic form structure on which Kijowski's axiomatic treatment of arrival times is based. Within Kijowski's framework, for a free right moving wave packet, the various notions of arrival time (at a fixed point x on the real line) all yield the same average arrival time. We derive an inequality relating the average Bohmian arrival time to the one of Kijowksi. We prove that the average Bohmian arrival time is less than Kijowski's one if and only if the wave packet leads to position probability backflow through x. Otherwise the two average arrival times coincide.
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"date_created": "2026-03-02T18:02:16.421000Z",
"date_modified": "2026-03-02T18:02:16.421000Z",
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"abstract": "We prove that the Bohmian arrival time of the 1D Schroedinger evolution\nviolates the quadratic form structure on which Kijowski\u0027s axiomatic treatment\nof arrival times is based. Within Kijowski\u0027s framework, for a free right moving\nwave packet, the various notions of arrival time (at a fixed point x on the\nreal line) all yield the same average arrival time. We derive an inequality\nrelating the average Bohmian arrival time to the one of Kijowksi. We prove that\nthe average Bohmian arrival time is less than Kijowski\u0027s one if and only if the\nwave packet leads to position probability backflow through x. Otherwise the two\naverage arrival times coincide.",
"arxiv_id": "quant-ph/0504185",
"authors": [
"M Ruggenthaler",
"G Gruebl",
"S Kreidl"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/38/39/010",
"title": "Times of arrival: Bohm beats Kijowski",
"url": "https://arxiv.org/abs/quant-ph/0504185"
},
"schema_id": "dorsal/arxiv",
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"execution_id": "1c42841b-2815-4d2f-81f6-60bd8f7c5b5a",
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