Abstract
There are numerous situations of highly correlated many-body systems or field theories where a full treatment is too cumbersome, if not impossible. At the same time such systems display very simple properties if one looks at structure or low-energy excitations which can be described by one-body potentials and weak residual interactions; think, e.g., of atomic nuclei [17, 92, 42]. The nuclear interaction combines strong attraction and a huge short-range repulsion. These large and counteracting influences make an ab initio treatment extremely involved, up to these days not fully under control. Nonetheless, a simple nuclear shell model allows to sort all structural properties and basic low-energy excitations in the range up to giant resonances (around 20–30 MeV) [48]. Simple one-body models of that sort are ubiquitous in all areas of physics, see Chap. 3. They embody, however, a disquieting amount of arbitrariness as these shell-model potentials usually emerge from an educated guess.
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© 2010 Springer-Verlag Berlin Heidelberg
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Maruhn, J.A., Reinhard, PG., Suraud, E. (2010). Hartree–Fock. In: Simple Models of Many-Fermion Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03839-6_5
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DOI: https://doi.org/10.1007/978-3-642-03839-6_5
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