The effect of cusps in time-dependent quantum mechanics

Details The effect of cusps in time-dependent quantum mechanics The effect of cusps in time-dependent quantum mechanics

2011-09-30

arxiv.org/abs/1109.6858v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

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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