An Introduction to Symmetric Spaces
by Ulrika Magnea
Publisher: arXiv 2002
Number of pages: 66
Recently, the theory of symmetric spaces has come to play an increased role in the physics of integrable systems and in quantum transport problems. In addition, it provides a classification of random matrix theories. In this paper we give a self--contained introduction to symmetric spaces and their main characteristics. We take an algebraic approach; therefore it is not necessary to know almost anything about differential geometry to be able to follow the outline.
Home page url
Download or read it online for free here:
by Andrei Postnikov - Universite de Lorraine
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.
by Daniel Arovas - University of California, San Diego
These lecture notes are intended to supplement a graduate level course in condensed matter physics. From the table of contents: Introductory Information; Boltzmann Transport; Mesoscopia; Linear Response Theory; Magnetism.
by Primoz Ziherl - University of Ljubljana
These notes were prepared for the one-semester course in theoretical physics of soft condensed matter physics for master students. The aim of the course is to provide a broad review the phenomena and the concepts characteristic of soft matter.
by R. Starke, G. A. H. Schober - arXiv
Systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. We propose a simple scheme to decouple the electrons and nuclei of a crystalline solid via effective interactions.