Energy density functional methods for atomic nuclei /
"Version: 20190101"--Title page verso.Includes bibliographical references.1. Non-relativistic energy density functionals -- 1.1. Introduction -- 1.2. Energy density functional kernels -- 1.3. Pairing and Coulomb functionals2. Covariant energy density functionals -- 2.1. Relativistic description of quantum systems -- 2.2. Symmetry properties of QCD -- 2.3. Effective Lagrangians for nuclear systems -- 2.4. Phenomenological Lagrangians -- 2.5. Derivation of the covariant energy density functional -- 2.6. Advantages of a relativistic description of nuclear systems3. Single-reference and multi-reference formulations -- 3.1. Single-reference implementation of nuclear energy density functionals -- 3.2. Multi-reference implementation of nuclear energy density functionals4. Time-dependent density functional theory -- 4.1. Time evolution equations -- 4.2. Role of pairing correlations in nuclear dynamics -- 4.3. Local DFT for superfluids -- 4.4. Validation of the TDSLDA : the unitary Fermi gas -- 4.5. Symmetry-breaking -- 4.6. Time-dependent techniques -- 4.7. Selected examples5. Small-amplitude collective motion -- 5.1. RPA with a Hamiltonian -- 5.2. RPA in density functional theory -- 5.3. Sum rules -- 5.4. Pairing correlations and QRPA formalism -- 5.5. Charge-changing QRPA6. Large-amplitude collective motion -- 6.1. Collective subspace -- 6.2. Adiabatic time-dependent Hartree-Fock theory -- 6.3. Adiabatic self-consistent collective coordinate method -- 6.4. Gaussian overlap approximation of the GCM7. Finite temperature -- 7.1. A reminder of statistical quantum mechanics -- 7.2. Finite-temperature Hartree-Fock theory -- 7.3. Finite-temperature Hartree-Fock-Bogoliubov theory -- 7.4. Finite-temperature RPA -- 7.5. Beyond mean field8. Numerical implementations -- 8.1. Configuration space and basis expansions -- 8.2. Lattice techniques -- 8.3. The self-consistent loop -- 8.4. Time-evolution algorithms9. Calibration of energy functionals -- 9.1. Parameters of energy functionals -- 9.2. Physical observables -- 9.3. Uncertainties of EDF parameters -- 9.4. Propagation of theoretical uncertainties.Energy density functional (EDF) approaches have become over the past twenty years a powerful framework to study the structure and reactions of atomic nuclei. This book gives an updated presentation of non-relativistic and covariant energy functionals, single- and multi-reference methods, and techniques to describe small- and large-amplitude collective motion or nuclei at high excitation energy. Edited by an expert in energy density functional theory, Dr Nicolas Schunck, alongside several experts within the field, this book provides a comprehensive and informative exploration of EDF methods. Detailed derivations, practical approaches, examples and figures are used throughout the book to give a coherent narrative of topics that have hitherto rarely been covered together.PhD students, postdocs and research staff specializing in nuclear theory.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Nicolas Schunck received his PhD in theoretical nuclear physics from the University of Strasbourg and he is currently a research scientist at Lawrence Livermore National Laboratory. His work is centred on the development and applications of computational methods for nuclear energy density functional theory, with a particular focus on the development of a fundamental description of nuclear fission.Title from PDF title page (viewed on February 4, 2019).
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