Asymptotic behaviour of the probability density in one dimension
J. A. Damborenea, I. L. Egusquiza, J. G. Muga
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.
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