
Euclidean Random Matrices and Their Applications in Physics
by A. Goetschy, S.E. Skipetrov
Publisher: arXiv 2013
Number of pages: 50
Description:
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler, standard random matrix ensembles are established. We discuss applications of Euclidean random matrices to contemporary problems in condensed matter physics, optics, and quantum chaos.
Download or read it online for free here:
Download link
(6.8MB, PDF)
Similar books
Mathemathical Methods of Theoretical Physicsby Karl Svozil - Edition Funzl
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
(13591 views)
Lectures on Integrable Hamiltonian Systemsby G.Sardanashvily - arXiv
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
(10551 views)
An Introduction to Hyperbolic Analysisby Andrei Khrennikov, Gavriel Segre - arXiv
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.
(14134 views)
LieART: A Mathematica Application for Lie Algebras and Representation Theoryby Robert Feger, Thomas W. Kephart - arXiv
We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.
(12597 views)