Title	The role of interactions in the Runge-Gross Theorem
Creator	Lampart, Jonas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-01-28T15:46
Description	Time-dependent density functional theory relies on a one-to-one correspondence between external potentials in the $N$-particle Schrodinger equation and the one-particle densities they generate. Runge and Gross argued that this correspondence holds (up to a time-dependent constant in the potential) for sufficiently "nice" external potentials. I will discuss a mathematical setting for this argument and explain when it can be made fully rigorous. The interaction potentials play an important role for this and I will discuss the problems that arise in the presence of singular interactions, like the Coulomb potential. This is joint work with S. Fournais, M. Lewin, and T. Ostergaard Sorensen.
Extent	29.0
Subject	Mathematics; Partial differential equations; Quantum theory; Applied mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: CNRS and Université de Bourgogne
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-07-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380193
URI	http://hdl.handle.net/2429/71115
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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The role of interactions in the Runge-Gross Theorem Lampart, Jonas

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