Asymptotic behavior of the probability density in one dimension

摘要

We demonstrate that the probability density of a quantum state moving freely in one dimension may decay faster than t(-1). The t(-2) and t(-3) dependencies are illustrated with analytically solvable examples. Decays faster than t(-1) allow the existence of dwell times and delay times. (C) 2002 American Association of Physics Teachers. [References: 13]