Dynamics of uncertainties for bound one-dimensional semiclassical wave packets

Predrag Punoŝevac, Sam L. Robinson

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We study the time evolution of the uncertainties Δx and Δp in position and momentum, respectively, associated with the semiclassical propagation of certain Gaussian initial states. We show that these quantities behave generically as |P1(t) + tP2(t)|, where P1 and P are periodic in time with period that of an underlying classical trajectory. We also show that, despite the overall (generically quadratic) growth in time, the uncertainty product ΔxΔp achieves its minimum of h/2 at arbitrarily large times. Published by AIP Publishing.

Original languageEnglish (US)
Article number092102
JournalJournal of Mathematical Physics
Issue number9
StatePublished - Sep 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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