Düsseldorf 2007 – scientific programme

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A: Fachverband Atomphysik

A 20: Atomic Systems in External Fields II

A 20.5: Talk

Thursday, March 22, 2007, 12:45–13:00, 6G

Time-dependent density functional theory: Causality and other problems — •Michael Ruggenthaler and Dieter Bauer — Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg

Time-dependent density functional theory (TDDFT) is a reformulation of the time dependent many-body problem in quantum mechanics which is capable of reducing the computational cost to calculate, e.g., strongly driven many-electron systems enormously. Recent developments were able to overcome fundamental problems associated with ionization processes [1,2]. Still vital issues have to be clarified. Besides the construction of the underlying functionals we investigate the causality problem of TDDFT by general considerations and by studying a exactly solvable system of two correlated electrons in an intense laser-pulse. For the latter system, the two alternative approaches to the construction of the action functional or a constrained functional derivative by van Leeuwen [3] and Gál [4], respectively, are explored.

[1] M. Lein and S. Kümmel, Phys. Rev. Lett. 94, 143003 (2005).
[2] F. Wilken and D. Bauer, Phys. Rev. Lett. 97, 203001 (2006).
[3] R. van Leeuwen, J. Mod. Phys. 15, 1969 (2001).
[4] T. Gál, J. Phys. A: Math. Gen. 35, 5899 (2002).