Density functional theory: Foundations reviewed

ES Kryachko, EV Ludena - Physics Reports, 2014 - Elsevier
Guided by the above motto (quotation), we review a broad range of issues lying at the
foundations of Density Functional Theory, DFT, a theory which is currently omnipresent in …

Density functional. Theory and application to atoms and molecules

Á Nagy - Physics Reports, 1998 - Elsevier
The density functional theory is one of the most efficient and promising methods of quantum
physics and chemistry. It is a theory of electronic structure formulated in terms of the electron …

Necessary and sufficient conditions for the -representability of density functionals

PW Ayers, S Liu - Physical Review A—Atomic, Molecular, and Optical …, 2007 - APS
It is well known that variational optimization of the energy using approximate density
functionals can give results below the true ground-state energy. This can be attributed to the …

Differentiability of Lieb functional in electronic density functional theory

PE Lammert - International Journal of Quantum Chemistry, 2007 - Wiley Online Library
A solid understanding of the Lieb functional FL is important because of its centrality in the
foundations of electronic density functional theory. A basic question is whether directional …

Symmetric nonlocal weighted density approximations from the exchange-correlation hole of the uniform electron gas

R Cuevas-Saavedra, D Chakraborty… - Journal of Chemical …, 2012 - ACS Publications
Nonlocal exchange-correlation energy functionals are constructed using the accurate model
exchange-correlation hole for the uniform electron gas developed by Gori-Giorgi and …

[BOOK][B] Concepts and methods in modern theoretical chemistry: electronic structure and reactivity

SK Ghosh, PK Chattaraj - 2013 - books.google.com
Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and
Reactivity, the first book in a two-volume set, focuses on the structure and reactivity of …

Solution of the Kohn–Sham equations for many-electron atoms confined by penetrable walls

MA Martínez-Sánchez, M Rodriguez-Bautista… - Theoretical Chemistry …, 2016 - Springer
The solution of the Kohn–Sham equations in the Roothaan's context is presented for atoms
confined by penetrable walls. A new basis set is employed in this work, which was designed …

Analysis of dynamical and nondynamical components of electron correlation energy by means of local-scaling density-functional theory

E Valderrama, EV Ludeña, J Hinze - The Journal of chemical physics, 1997 - pubs.aip.org
The partitioning of electron correlation energy into dynamical and nondynamical
components is examined in the context of the local-scaling transformation version of density …

Density-functional study of intramolecular ferromagnetic interaction through m-phenylene coupling unit (II): Examination of functional dependence

M Mitani, D Yamaki, Y Takano, Y Kitagawa… - The Journal of …, 2000 - pubs.aip.org
As a first step toward examination of ferromagnetic polymers and dendrimers by ab initio
crystal orbital methods, we elucidated candidates for monomer units with the high-spin …

Density functional study of intramolecular ferromagnetic interaction through m-phenylene coupling unit. III. Possibility of high-spin polymer

M Mitani, Y Takano, Y Yoshioka… - The Journal of chemical …, 1999 - pubs.aip.org
Because it has been well-known that the effective exchange interaction of spins is much
larger within a molecule than between molecules, it is very important to design high-spin …