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
Lie Groups in Physicsby G. 't Hooft, M. J. G. Veltman - Utrecht University
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(18442 views)
Lie Theory and Special Functionsby Willard Miller - Academic Press
The book studies the role played by special function theory in the formalism of mathematical physics. It demonstrates that special functions which arise in mathematical models are dictated by symmetry groups admitted by the models.
(16625 views)
Neutrosophic Physics: More Problems, More Solutionsby 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.
(12833 views)
Elements for Physics: Quantities, Qualities, and Intrinsic Theoriesby Albert Tarantola - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
(18720 views)