Domains of time-dependent density-potential mappings

The key element in time-dependent density functional theory is the one-to-one correspondence between the one-particle density and the external potential. In most approaches, this mapping is transformed into a certain type of Sturm-Liouville problem. Here we give conditions for existence and uniquene...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-08, Vol.44 (33), p.335208-7
Main Authors: PENZ, M, RUGGENTHALER, M
Format: Article
Language:English
Subjects:
Construction
Density
Density functional theory
Exact sciences and technology
Mapping
Mathematical analysis
Physics
Sobolev space
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The key element in time-dependent density functional theory is the one-to-one correspondence between the one-particle density and the external potential. In most approaches, this mapping is transformed into a certain type of Sturm-Liouville problem. Here we give conditions for existence and uniqueness of solutions and construct the weighted Sobolev space they lie in. As a result, the class of v-representable densities is considerably widened with respect to previous work.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/44/33/335208