title: Effect of cusps in time-dependent quantum mechanics.
abstract: Within nonrelativistic quantum mechanics, spatial cusps in initial wave functions can lead to nonanalytic behavior in time. We suggest a method for calculating the short-time behavior in such situations. For these cases, the density does not match its Taylor expansion in time, but the Runge-Gross proof of time-dependent density functional theory still holds, as it requires only the potential to be time analytic.
authors.affiliation: Department of Chemistry, University of California-Irvine, Irvine, California 92697, USA.
authors.forename: Zeng-hui
authors.initials: ZH
authors.lastname: Yang
authors.forename: Neepa T
authors.initials: NT
authors.lastname: Maitra
authors.forename: Kieron
authors.initials: K
authors.lastname: Burke