NDLI: Time-dependent density functional theory applied to superfluid nuclei

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Time-dependent density functional theory applied to superfluid nuclei

Content Provider	Scilit
Author	Bulgac, A. Roche, K. J.
Copyright Year	2008
Description	Journal: Journal of Physics: Conference Series We describe the response of superfluid nuclei to any external time-dependent probe within an extension of the density functional theory, the time-dependent superfluid local density approximation (TD-SLDA). All quasi-particle wave functions (qpwfs) are represented on a three-dimensional spatial grid to allow for the breaking of all possible symmetries, and subsequently these functions are evolved in time using a high order multi-step algorithm. Mathematically this problem is a system of coupled, time-dependent, nonlinear partial differential equations, which when discretized becomes equivalent to a nonlinear classical mechanics problem with α N_{x}$^{6}$ ≈ $10^{12}$ degrees of freedom, where $N_{x}$ is number of spatial mesh points in one direction. The lattice representation of the qpwfs allows for fast and accurate evaluation of various spatial derivatives required for the construction of various physical quantities that appear in the theory. The total number of independent qpwfs is of the order of spatial mesh points, and the system is evolved for tens to hundreds of thousands of time steps. We describe how we implemented the TD-SLDA method and report some of the challenges encountered.
Related Links	http://iopscience.iop.org/article/10.1088/1742-6596/125/1/012064/pdf
ISSN	17426588
e-ISSN	17426596
DOI	10.1088/1742-6596/125/1/012064
Journal	Journal of Physics: Conference Series
Issue Number	1
Volume Number	125
Language	English
Publisher	IOP Publishing
Publisher Date	2008-07-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics: Conference Series Nuclear Physics Density Functional Theory Theory Applied Time Dependent Density Functional Superfluid Nuclei
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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