Law of addition in random matrix theory
Condensed Matter
2009-10-28 v1 High Energy Physics - Theory
Abstract
We discuss the problem of adding random matrices, which enable us to study Hamiltonians consisting of a deterministic term plus a random term. Using a diagrammatic approach and introducing the concept of ``gluon connectedness," we calculate the density of energy levels for a wide class of probability distributions governing the random term, thus generalizing a result obtained recently by Br\'ezin, Hikami, and Zee. The method used here may be applied to a broad class of problems involving random matrices.
Keywords
Cite
@article{arxiv.cond-mat/9602146,
title = {Law of addition in random matrix theory},
author = {Anthony Zee},
journal= {arXiv preprint arXiv:cond-mat/9602146},
year = {2009}
}
Comments
17 pages, Latex with special macro appended, hard figs available from: [email protected]