Bohmian arrival time without trajectories

The computation of detection probabilities and arrival time distributions within Bohmian mechanics in general needs the explicit knowledge of a relevant sample of trajectories. Here it is shown how for one-dimensional systems and rigid inertial detectors these quantities can be computed without calc...

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Bibliographic Details
Published inarXiv.org
Main Authors Kreidl, Sabine, Gebhard Gruebl, Embacher, Hans G
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.09.2003
Subjects
Explicit knowledge
Trajectories
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Summary:The computation of detection probabilities and arrival time distributions within Bohmian mechanics in general needs the explicit knowledge of a relevant sample of trajectories. Here it is shown how for one-dimensional systems and rigid inertial detectors these quantities can be computed without calculating any trajectories. An expression in terms of the wave function and its spatial derivative, both restricted to the boundary of the detector's spacetime volume, is derived for the general case, where the probability current at the detector's boundary may vary its sign.
ISSN:2331-8422
DOI:10.48550/arxiv.0305163