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arXiv · 1109.6858

The effect of cusps in time-dependent quantum mechanics

Zeng-hui Yang·Neepa T. Maitra·Kieron Burke
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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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Zeng-hui Yang, Neepa T. Maitra, Kieron Burke. 2011-09-30. The effect of cusps in time-dependent quantum mechanics. https://doi.org/10.1103/physrevlett.108.063003

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