Law of addition in random matrix theory

Nucl.Phys. B474 (1996) 726-744 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 l...

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Bibliographic Details
Main Author Zee, Anthony
Format Journal Article
LanguageEnglish
Published 27.02.1996
Subjects
Physics - Disordered Systems and Neural Networks
Physics - High Energy Physics - Theory
Physics - Materials Science
Physics - Mesoscale and Nanoscale Physics
Physics - Other Condensed Matter
Physics - Quantum Gases
Physics - Soft Condensed Matter
Physics - Statistical Mechanics
Physics - Strongly Correlated Electrons
Physics - Superconductivity
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Summary:Nucl.Phys. B474 (1996) 726-744 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.
Bibliography:NSF-ITP-96-12
DOI:10.48550/arxiv.cond-mat/9602146