English

Asymptotic behaviour of the probability density in one dimension

Quantum Physics 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0109151,
  title  = {Asymptotic behaviour of the probability density in one dimension},
  author = {J. A. Damborenea and I. L. Egusquiza and J. G. Muga},
  journal= {arXiv preprint arXiv:quant-ph/0109151},
  year   = {2009}
}

Comments

5 pages, one eps figure included

R2 v1 2026-07-22T19:32:25.739Z