**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

**Neutrosophic Physics: More Problems, More Solutions**

by

**F. Smarandache**-

**North-European Scientific Publishers**

Neutrosophic logics is one of the promising research instruments, which could be successfully applied by a theoretical physicist. Neutrosophic logics states that neutralities may be between any physical states, or states of space-time.

(

**10569**views)

**Partial Differential Equations of Mathematical Physics**

by

**William W. Symes**-

**Rice University**

This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.

(

**15651**views)

**Solitons**

by

**David Tong**-

**University of Cambridge**

These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton.

(

**10163**views)

**Lecture Notes on Quantum Brownian Motion**

by

**Laszlo Erdos**-

**arXiv**

Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.

(

**9434**views)