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Time dependent density functional theory in quantum liquids

1994/11/22 by S. Stringari, Sandro Stringari, Stringari, Sandro
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9411090

10 pages, Plain TeX, figs on request from [email protected]

arxiv created 1994/11/22 · openalex publication_date 1994/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for the determination of energy and density profiles of inhomogeneous systems, the applicability of TDDFT to the investigation of dynamic phenomena (for example propagation of collective phenomena) is less obvious especially in the microscopic regime of large wave vectors. The purpose of this paper is to discuss some relevant questions concerning the structure, the ingredients and the applicability of TDDFT. Some emphasis will be also given to establish important connections between TDDFT and microscopic theories such as the Feynman theory for the elementary excitations of Bose superfluids.

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