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Density functional for bosons in the path integral approach Anna Okopinska Institute of Physics, Swietokrzyska Academy, Kielce, Poland The density functional for a system of interacting bosons is defined as the effective action for composite operators. The functional depends on both the condensate density and the total density, the physical values of which are determined by variational principle. An expansion in powers of the Planck constant generates a systematic approximation scheme being an extension of the Kohn-Sham approach to bosonic systems. 38
Time-dependent exchange-correlation current density functionals with memory Yair Kurzweil and Roi Baer Department of Physical Chemistry and the Lise Meitner Minerva-Center for Computational Quantum Chemistry, the Hebrew University of Jerusalem, Jerusalem 91904 Israel. Most present applications of time-dependent density functional theory use adiaba tic functionals, i.e. the effective potential at time t is determined solely by the density at the same time. Our work discusses a method that aims to go beyond this approximation, by incorporating ”memory” effects: the potential will depend also on the history. We add to the adiabatic approximation an additional part that includes memory and yields a functional that is totally consistent with known dynamical properties of the homogeneous electron gas (in the linear response limit). In order to achieve this, we write down an action principle from which Kohn-Sham equations are derived for description of the time-dependent electron density and fluid velocity field. We construct the action on Lagrangian coordinate s system and pseudo time domain (Keldysh contour). Therefore, action principle is built in such a way that it is Galilean invariant and yields causal equations. 39
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TIME DEPENDENT DENSITY FUNCTIONAL THEORY ... - TDDFT.org

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