An Advanced Course in Computational Nuclear Physics: Bridging the Scales from Quarks to Neutron Stars

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Morten Hjorth-Jensen, Maria Paola Lombardo, Ubirajara van Kolck
Springer, 09.05.2017 - 644 Seiten

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches.

Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter.

The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.

 

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Inhalt

1 Motivation and Overarching Aims
1
2 Quantum Chromodynamics
5
3 Lattice Quantum Chromodynamics
55
4 General Aspects of Effective Field Theories and FewBody Applications
93
5 Lattice Methods and Effective Field Theory
155
6 Lattice Methods and the Nuclear Few and ManyBody Problem
237
From Few to Many Nucleons
263
8 Computational Nuclear Physics and Post HartreeFock Methods
293
9 Variational and Diffusion Monte Carlo Approaches to the Nuclear Few and ManyBody Problem
401
10 InMedium Similarity Renormalization Group Approach to the Nuclear ManyBody Problem
477
11 SelfConsistent Greens Function Approaches
571
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Über den Autor (2017)

Morten Hjorth-Jensen is a professor in theoretical nuclear physics at the University of Oslo since 2001. He shared the University of Oslo Excellence in Teaching Award for 2000, and became a fellow of the American Physical Society in 2007. In 2008, together with collaborators, he received the Oak Ridge National Laboratory award in the category for "Scientific Research" for the development and implementation of coupled-cluster theory for medium mass and neutron-rich nuclei.

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