Bohmian transmission and reflection dwell times without trajectory sampling

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

Received 8 June 2004, in final form 29 March 2005

Abstract. Within the framework of Bohmian mechanics dwell times find a straightforward formulation. The computation of associated probabilities and distributions however needs the explicit knowledge of a relevant sample of trajectories and therefore implies formidable numerical effort. Here, a trajectory free formulation for the average transmission and reflection dwell times within static spatial intervals [a, b] is given for one-dimensional scattering problems. This formulation reduces the computation time to less than 5% of the computation time by means of trajectory sampling.

Published 25 May 2005.

J. Phys. A: Math. Gen. 38, 5293 - 5303 (2005).

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