Bohmian transmission and reflection dwell times without trajectory sampling

Details Bohmian transmission and reflection dwell times without trajectory sampling Bohmian transmission and reflection dwell times without trajectory sampling

2004-06-08

arxiv.org/abs/quant-ph/0406045v2

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

Physics

Quantum Physics

14 pages, 7 figures; v2: published version, significantly revised and shortened (former sections 2 and 3 omitted, appendix A a

Scientific paper

10.1088/0305-4470/38/23/015

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.

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