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DFT Review Articles and Books

  1. Self-consistent mean-field models for nuclear structure , M. Bender, P.H. Heenen, and P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003). Review article by three nuclear DFT practitioners focusing on applications of non-relativistic Skyrme EDFs (with some discussion of relativistic functionals) to nuclear structure.
  2. Toward ab initio density functional theory for nuclei, J. Drut, R.J. Furnstahl, and L. Platter, Prog. Part. Nucl. Phys. 64, 1 (2010). Pedagogical review focusing on ab-initio approaches to DFT (orbital-dependent functionals, density matrix expansion, etc.)
  3. A primer in density functional theory, Fiolhais, Nogueira, and Marques (Editors), Springer Verlag (2003). The first chapter by Perdew and Kurth gives a very nice overview of semi-local (LDA + gradients) functionals in Coulomb systems. The second chapter by Engel gives a nice introduction to the optimized effective potential (OEP) approach where one constructs orbital-dependent functionals using ab-initio many-body theory.
  4. Relativistic nuclear energy density functionals: Mean-field and beyond, T. Niksic, D. Vretenar, and Peter Ring, Prog. Part. Nucl. Phys. 66 (2011). Recent review of relativistic EDF's.


  1. The Nuclear Many-Body Problem, P. Ring and P. Schuck, Springer-Verlag (2000) - A comprehensive review of the techniques used in nuclear structure. Many of the topics of the school are covered in chapters 4-8, 10, 11.
  2. Density Functional Theory of Atoms and Molecules, R.G. Parr and W. Yang, Oxford University Press (1989) - A pedagogical yet complete introduction to density functional theory in electronic structure theory. Chapters 1-3, 7, 8 will be discussed during the school.
  3. Quantum Theory of Finite Systems, J.-P. Blaizot, P. Ripka, The MIT Press (1985) - Not easy, but an absolute reference, especially for mean-field methods (with and without pairing), two-body Hamiltonians, etc. Unfortunately not published anymore.
  4. Handbook of mathematical functions, M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics Series (1972) - A comprehensive handbook of mathematical functions and methods, including orthogonal polynomials, numerical quadratures, discretization schemes, etc.
references.txt · Last modified: 2014/07/11 22:46 by bogner