The effect of cusps in time-dependent quantum mechanics (bibtex)

by Zeng-hui Yang, Neepa T. Maitra and Kieron Burke

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.

DOI link

Reference:

The effect of cusps in time-dependent quantum mechanics Zeng-hui Yang, Neepa T. Maitra and Kieron Burke, Phys. Rev. Lett. 108, 063003 (2012).

Bibtex Entry:

@article{YMB12,
	Pub-num = {135},
	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.},
	Author = {Zeng-hui Yang and Neepa T. Maitra and Kieron Burke},
	Date-Modified = {2013-02-12 00:16:04 +0000},
	Doi = {10.1103/PhysRevLett.108.063003},
	Journal = {Phys. Rev. Lett.},
	Pages = {063003},
	Title = {The effect of cusps in time-dependent quantum mechanics},
	Url = {http://prl.aps.org/abstract/PRL/v108/i6/e063003},
	Volume = {108},
	Year = {2012},
	Bdsk-Url-1 = {http://prl.aps.org/abstract/PRL/v108/i6/e063003},
	Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.108.063003},
    keywords = {transport}
    }