The effect of cusps in time-dependent quantum mechanics
Quantum Physics
2013-05-30 v1 Materials Science
Other Condensed Matter
Atomic Physics
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.
Keywords
Cite
@article{arxiv.1109.6858,
title = {The effect of cusps in time-dependent quantum mechanics},
author = {Zeng-hui Yang and Neepa T. Maitra and Kieron Burke},
journal= {arXiv preprint arXiv:1109.6858},
year = {2013}
}
Comments
5 pages, 1 figure