Time-Dependent Density Functional Theory

Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing  ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, c

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ecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research to serve the following purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic; • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas; • to be a source of advanced teaching material for specialized seminars, courses and schools. Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive is available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Dr. Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg/Germany [email protected]

Miguel A.L. Marques Carsten A. Ullrich Fernando Nogueira Angel Rubio Kieron Burke Eberhard K.U. Gross

Time-Dependent Density Functional Theory

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Editors Miguel A.L. Marques Departamento de Física Universidade de Coimbra Rua Larga 3004 – 516 Coimbra, Portugal E-mail: [email protected]

Angel Rubio Dpto. Fisica de Materiales Facultad de Quimicas, U. Pais Vasco Centro Mixto CSIC-UPV/EHU, DIPC Apdo. 1072, 20018 San Sebastian, Spain E-mail: [email protected]

Carsten A. Ullrich Department of Physics University of Missouri-Columbia Columbia, MO 65211, U.S.A. E-mail: [email protected]

Kieron Burke Dept. of Chemistry & Chem. Biology Rutgers University 610 Taylor Rd, Piscataway NJ 08854, U.S.A. E-mail: [email protected]

Fernando Nogueira Departamento de Física Universidade de Coimbra Rua Larga 3004 – 516 Coimbra, Portugal E-mail: [email protected]

Eberhard K. U. Gross Institut für Theoretische Physik Freie Universität Berlin Arnimallee 14 14195 Berlin, Germany E-mail: [email protected]

M.A.L. Marques et al., Time-Dependent Density Functional Theory, Lect. Notes Phys. 706 (Springer, Berlin Heidelberg 2006), DOI 10.1007/b11767107

Library of Congress Control Number: 2006928278 ISSN 0075-8450 ISBN-10 3-540-35422-0 Springer Berlin Heidelberg New York ISBN-13 978-3-540-35422-2 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of ill