Bohmian transmission and reflection dwell times without trajectory sampling
Quantum Physics
2009-11-10 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.quant-ph/0406045,
title = {Bohmian transmission and reflection dwell times without trajectory sampling},
author = {Sabine Kreidl},
journal= {arXiv preprint arXiv:quant-ph/0406045},
year = {2009}
}
Comments
14 pages, 7 figures; v2: published version, significantly revised and shortened (former sections 2 and 3 omitted, appendix A added, simplified mathematics)