Quantile Motion and Tunneling
Quantum Physics
2009-10-31 v1
Abstract
The concepts of quantile position, trajectory, and velocity are defined. For a tunneling quantum mechanical wave packet, it is proved that its quantile position always stays behind that of a free wave packet with the same initial parameters. In quantum mechanics the quantile trajectories are mathematically identical to Bohm's trajectories. A generalization to three dimensions is given.
Cite
@article{arxiv.quant-ph/9809053,
title = {Quantile Motion and Tunneling},
author = {S. Brandt and H. D. Dahmen and E. Gjonaj and T. Stroh},
journal= {arXiv preprint arXiv:quant-ph/9809053},
year = {2009}
}
Comments
13 pages, LaTeX, elsart, 3 ps figures, submitted to Phys. Lett. A