Time of Arrival from Bohmian Flow

G. Grübl and K. Rheinberger

Institut für Theoretische Physik der Universität Innsbruck,
A-6020 Innsbruck, Technikerstr. 25, Austria

Submitted October 19, 2001

Abstract. We develop a new conception for the quantum mechanical arrival time distribution from the perspective of Bohmian mechanics. A detection probability for detectors sensitive to quite arbitrary space time domains is formulated. Basic positivity and monotony properties are established. We show that our detection probability improves and generalises an earlier proposal by Leavens and McKinnon. The difference between the two notions is illustrated through application to a free wave packet.

J. Phys. A: Math. Gen. 35, 2907 - 2924 (2002).

Preprint. pdf-file, 17 pages, 8 figures, 351 kB.