English

The evolution of quantal uncertainties in at most quadratic potentials

Quantum Physics 2011-12-06 v1

Abstract

We investigate the time evolution of momentum and position uncertainties for wave packets of arbitrary shape in at most quadratic potentials. We consider all possible cases of potentials and initial conditions. Doing so we see that the mixed uncertainty and for Gaussian wave packets moreover the chirp are convenient and important tools to identify the characteristic features of uncertainty dynamics. Special attention is given to the spreading and narrowing of wave packets.

Keywords

Cite

@article{arxiv.1112.0757,
  title  = {The evolution of quantal uncertainties in at most quadratic potentials},
  author = {Natascha Riahi},
  journal= {arXiv preprint arXiv:1112.0757},
  year   = {2011}
}

Comments

14 pages, 5 figures