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

by Kim Christensen - MIT
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.
(11827 views)

by Chetan Nayak - University of California
Contents: Basic Formalism; Goldstone Modes and Spontaneous Symmetry Breaking; Critical Fluctuations and Phase Transitions; Symmetry-Breaking In Fermion Systems; Gauge Fields and Fractionalization; Localized and Extended Excitations in Dirty Systems.
(10669 views)

by Immanuel Bloch, Jean Dalibard, Wilhelm Zwerger - arXiv.org
This paper reviews recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling descriptions, such as the Mott-Hubbard transition in optical lattices, etc.
(6635 views)

by J. Froehlich, U.M. Studer, E. Thiran - arXiv
From the table of contents: The Pauli Equation and its Symmetries; Gauge Invariance in Non-Relativistic Quantum Many-Particle Systems; Some Key Effects Related to the U(1)xSU(2) Gauge Invariance of Non-Relativistic Quantum Mechanics; and more.
(10335 views)