Simple Models of Many-Fermion Systems

1. Front Matter

   Pages i-xi

   PDF

2. The Variety of Finite Fermion Systems and Their Basic Properties

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 1-43

3. The Fermi-Gas Model

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 45-70

4. Particles in an External Field

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 71-91

5. Approaches Based on Model Spaces

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 93-116

6. Hartree–Fock

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 117-141

7. Density Functional Theory

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 143-161

8. Quasispin Models

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 163-185

9. Excitation Spectra

   • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

   Pages 187-213

10. Coherent Two-Body Correlations

    • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

    Pages 215-239

11. Conclusions

    • Joachim Alexander Maruhn, Paul-Gerhard Reinhard, Eric Suraud

    Pages 241-242

12. Back Matter

    Pages 243-279

    PDF

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 for the description of such s- tems across physical disciplines. The book demonstrates how theoretical can be successively re ned from the Fermi gas via external potential and mean- eld m- els to various techniques for dealing with residual interactions, while following the universality of such concepts like shells and magic numbers across the application elds.

• Atom
• Many-body physics
• Many-particle physics
• complexity
• density functional theory
• numerical method
• particle physics
• quantum physics

• FB 13 Physik, Inst. Theoretische Physik/Astrophysik, Universität Frankfurt, Frankfurt, Germany

  Joachim Alexander Maruhn

• Institut für Theoretische Physik II, Universität Erlangen, Erlangen, Germany

  Paul-Gerhard Reinhard

• IRSAMC, Lab. Physique Quantique, Université Toulouse III, Toulouse, France

  Eric Suraud

All three authors are teaching since many years at various university levels. They also have experience in teaching in international summer schools and they have already written several textbooks in nuclear and cluster physics.

Policies and ethics