International Workshop on 'New challenges in Reduced Density Matrix Functional Theory: Symmetries, time-evolution and entanglement'
Finite Uniform Electron GasesPeter Gill
Traditional density functional theory (DFT) emerged from, and remains firmly connected to, the study of the infinite uniform electron gas (IUEG) and many popular DFT functionals are constructed so that they yield correct exchange / correlation energies when applied to such systems .
Recently, we have shown that the IUEG is a limiting case of a much larger class of finite uniform electron gases (FUEGs) and that there are strong arguments for reconstructing DFT functionals so that they are also correct when applied to these finite systems [2,3].
In this lecture, I will discuss the mathematical treatment of FUEGs and argue that they are also potent sources of information for the construction and testing of new RDMFT models.
 R. G. Parr and W. Yang, Density-functional theory of atoms and molecules, Oxford, Clarendon Press, 1989.
 P. F. Loos and P. M. W. Gill, J. Chem. Phys. 135 214111 (2011).
 P. M. W. Gill and P. F. Loos, Theor. Chem. Acc. 131 1069 (2012).