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Titlebook: Simple Models of Many-Fermion Systems; Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eri Book 2010 Springer-Verlag Berlin Heidelberg 2010

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书目名称Simple Models of Many-Fermion Systems
编辑Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eri
视频video
概述First overview addressing such a cross-disciplinary topic.Material for a one semester course.Working tool with practical examples and applications.Includes supplementary material:
图书封面Titlebook: Simple Models of Many-Fermion Systems;  Joachim Alexander Maruhn,Paul-Gerhard Reinhard,Eri Book 2010 Springer-Verlag Berlin Heidelberg 2010
描述The term “ nite Fermi systems” usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, most noticeably metallic clusters, quantum dots, fermion traps, and compact stars. The theoretical description of nite Fermi systems has a long tradition and dev- oped over decades from most simple models to highly elaborate methods of ma- body theory. In fact, nite Fermi systems are the most demanding ground for theory as one often does not have any symmetry to simplify classi cation and as a possibly large but always nite particle number requires to take into account all particles. In spite of the practical complexity, most methods rely on simple and basic schemes which can be well understood in simple test cases. We therefore felt it a timely undertaking to offer a comprehensive view of the underlying theoretical ideas and techniques used
出版日期Book 2010
关键词Atom; Many-body physics; Many-particle physics; complexity; density functional theory; numerical method; p
版次1
doihttps://doi.org/10.1007/978-3-642-03839-6
isbn_softcover978-3-642-43530-0
isbn_ebook978-3-642-03839-6
copyrightSpringer-Verlag Berlin Heidelberg 2010
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Book 2010al extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, mo
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,Hartree–Fock, (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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Excitation Spectra,tate. A particularly interesting feature is that individual perturbations couple to collective (harmonic oscillations) similarly to a set of coupled oscillators. This collective (small-amplitude) motion has been widely studied in self-bound fermion systems such as nuclei, metal clusters, quantum dots, or atomic traps.
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The Variety of Finite Fermion Systems and Their Basic Properties,nded by a diffuse electron cloud. Nuclei themselves are built from interacting neutrons and protons, which are ultimately small compounds of quarks. Electrons, neutrons, protons, and quarks are fermions. Atoms themselves may also be fermions, if their total spin, built from those of electrons, neutr
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Particles in an External Field,rrect volume properties, scaling, or level densities, but neglects crucial quantum effects, particularly quantum shell structure, related to the spatial confinement of a finite system. A rough confinement is given by an infinite potential barrier enclosing a flat potential region. More realistic pot
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,Hartree–Fock, 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
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