The effect of cusps in time-dependent quantum mechanics

ORAL

Abstract

Spatial cusps in initial wavefunctions can lead to non-analytic 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.

*ZY and KB acknowledge U.S. D.O.E funding (DE-FG02-08ER46496) and NTM acknowledges both NSF and the Research Corporation.

–

Authors

  • Zenghui Yang

    • University of Missouri
    • University of Missouri - Columbia

  • Neepa T. Maitra

    • Hunter College, CUNY
    • Hunter College of the City University of New York
    • Hunter College, City University of New York
    • Department of Physics and Astronomy, Hunter College and the City University of New York, 695 Park Avenue, New York, New York 10065, USA

  • Kieron Burke

    • Departments of physics and chemistry, University of California, Irvine
    • University of California, Irvine
    • Department of Chemistry, University of California, 1102 Natural Sciences 2, Irvine, California 92697-2025, USA
    • Departments of Physics and Chemistry, University of California, Irvine