Jump to ContentJump to Main Navigation
Time-Dependent Density-Functional TheoryConcepts and Applications$
Users without a subscription are not able to see the full content.

Carsten A. Ullrich

Print publication date: 2011

Print ISBN-13: 9780199563029

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199563029.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 21 January 2019

Properties of the time-dependent xc potential

Properties of the time-dependent xc potential

(p.91) 6 Properties of the time-dependent xc potential
Time-Dependent Density-Functional Theory

Carsten A. Ullrich

Oxford University Press

This chapter reviews the properties of the time-dependent exchange-correlation (xc) potential. It starts with a discussion of the meaning of the universal xc functional, and then covers a number of exact conditions: the adiabatic limit, the zero-force theorem, freedom of self-interaction, sum rules, and various scaling properties. Next, Galiean invariance of the xc potential and the harmonic potential theorem are discussed. The xc potential has the intriguing property that it has a memory of the previous history of the system. The ramifications of this memory dependence are discussed, as well as causality properties. Another property is the dependence on the initial state of the system. Then, a time-dependent variational principle is presented which yields the xc potential, provided that one pays attention to certain boundary conditions. Finally, it is shown that the time-dependent xc potential has a discontinuity upon change of particle number.

Keywords:   exchange-correlation potential, variational principle, harmonic potential theorem, Galiean invariance, derivative discontinuity, zero-force theorem, scaling properties

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .