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Quantile Motion and Tunneling

S. Brandt·H. D. Dahmen·E. Gjonaj·T. Stroh
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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.

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S. Brandt, H. D. Dahmen, E. Gjonaj, T. Stroh. 1998-09-17. Quantile Motion and Tunneling. https://doi.org/10.1016/s0375-9601(98)00730-0

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