Products of Random Matrices and Generalised Quantum Point Scatterers

A Comtet, C Texier, YJM Tourigny

Research output: Contribution to journalArticle (Academic Journal)peer-review

20 Citations (Scopus)

Abstract

To every product of 2×2 matrices, there corresponds a one-dimensional Schrödinger equation whose potential consists of generalised point scatterers. Products of random matrices are obtained by making these interactions and their positions random. We exhibit a simple one-dimensional quantum model corresponding to the most general product of matrices in SL(2,ℝ). We use this correspondence to find new examples of products of random matrices for which the invariant measure can be expressed in simple analytical terms.
Translated title of the contributionProducts of Random Matrices and Generalised Quantum Point Scatterers
Original languageEnglish
Pages (from-to)427 - 466
Number of pages40
JournalJournal of Statistical Physics
Volume140
Issue number3
DOIs
Publication statusPublished - Aug 2010

Bibliographical note

Publisher: Springer

Fingerprint

Dive into the research topics of 'Products of Random Matrices and Generalised Quantum Point Scatterers'. Together they form a unique fingerprint.

Cite this