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.

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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