Bohmian arrival time without trajectories
Sabine Kreidl, Gebhard Grübl and Hans G. Embacher
Institut für Theoretische Physik der Universität Innsbruck
Technikerstr. 25, A-6020 Innsbruck, Austria
Submitted May 27, 2003
Abstract. 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.
J. Phys. A: Math. Gen. 36, 8851 - 8865 (2003).
Preprint. http://arXiv.org/abs/quant-ph/0305163, 20 pages, 12 figures, 128 kB.