paper

Asymptotic behaviour of the probability density in one dimension

arXiv:quant-ph/0109151 · doi:10.1119/1.1473643

Abstract

We demonstrate that the probability density of a quantum state moving freely in one dimension may decay faster than 1/t. Inverse quadratic and cubic dependences are illustrated with analytically solvable examples. Decays faster than 1/t allow the existence of dwell times and delay times.

5 pages, one eps figure included

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