by Kim Christensen
Publisher: MIT 2002
Number of pages: 40
Percolation theory is the simplest model displaying a phase transition. The aim of the percolation theory course is to provide a challenging and stimulating introduction to a selection of topics within modern theoretical condensed matter physics.
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by Wolfgang Ketterle, Martin W. Zwierlein - arXiv
This text summarizes the experimental frontier of ultra cold fermionic gases. It is based on three lectures which one of the authors gave at the Varenna summer school describing the experimental techniques used to study ultracold fermionic gases.
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Contents: Thomas-Fermi method; Hartree-Fock formalism; Total energy as functional of electron density; Practical implementation of DFT and HF calculation schemes; Response properties in ab initio schemes; Order-N methods; Lattice dynamics.
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A thorough introduction to the theoretical basis of density functional methods in a form which is both rigorous and yet concise. It is aimed for those who want to get a deeper insight into the meaning of the results of practical calculations.
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DFT is not just another way of solving the Schroedinger equation. Density functional theory is a completely different, rigorous way of approaching any interacting problem, by mapping it exactly to a much easier-to-solve non-interacting problem.