Bohmian arrival time without trajectories

Details Bohmian arrival time without trajectories Bohmian arrival time without trajectories

2003-05-27

arxiv.org/abs/quant-ph/0305163v2

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

Physics

Quantum Physics

20 pages, 12 figures; v2: reference added, extended introduction, published version

Scientific paper

10.1088/0305-4470/36/33/309

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.

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