Bohmian arrival time without trajectories

Bohmian arrival time without trajectories

J. Phys. A: Math. Gen. 36 (2003) 8851-8865 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 th...

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Hauptverfasser: Kreidl, Sabine, Gruebl, Gebhard, Embacher, Hans G
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Mathematics - Mathematical Physics
Physics - Mathematical Physics
Physics - Quantum Physics
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description J. Phys. A: Math. Gen. 36 (2003) 8851-8865 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.
doi_str_mv 10.48550/arxiv.quant-ph/0305163
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Gen. 36 (2003) 8851-8865 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. 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Phys. A: Math. Gen. 36 (2003) 8851-8865 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.</abstract><doi>10.48550/arxiv.quant-ph/0305163</doi><oa>free_for_read</oa></addata></record>
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Physics - Mathematical Physics
Physics - Quantum Physics
title Bohmian arrival time without trajectories
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