An Introduction to Symmetric Spaces
by Ulrika Magnea
Publisher: arXiv 2002
Number of pages: 66
Description:
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.
Download or read it online for free here:
Download link
(510KB, PDF)
Similar books
The ABC of Density Functional Theoryby Kieron Burke, et al. - University of California, Irvine
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.
(11192 views)
Condensed Matter Physics With Light And Atomsby Antoine Georges - arXiv
Various topics at the interface between condensed matter physics and the physics of ultra-cold fermionic atoms in optical lattices are discussed. Lectures given at the Enrico Fermi Summer School on 'Ultracold Fermi Gases' in 2006.
(9525 views)
N-body Problemby André-Marie Tremblay
These notes cover the formalism of correlation functions and perturbation theory, adiabatic continuity and broken symmetry -- the most important basic principles of condensed matter physics, and modern problems and more recent calculational tools.
(12102 views)
The Condensed Matter Physics of QCDby Krishna Rajagopal, Frank Wilczek - arXiv
Important progress in understanding the behavior of hadronic matter at high density has been achieved recently. We discuss the phase diagram of QCD as a function of temperature and density, and close with a look at possible astrophysical signatures.
(12838 views)