Bohmian arrival time without trajectories
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.
http://arXiv.org/abs/quant-ph/0305163, 20 pages, 12 figures, 128 kB.