====== References ====== ===== DFT Review Articles and Books ===== - [[http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.75.121|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. - [[http://arxiv.org/abs/0906.1463|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.) - [[http://www.physics.udel.edu/~bnikolic/QTTG/NOTES/DFT/BOOK=primer_dft.pdf|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. - {{:ppnp.pdf|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. ===== Textbooks ===== - //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. - //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. - //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. - //[[http://people.math.sfu.ca/~cbm/aands/intro.htm#006|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.