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Law of addition in random matrix theory

Anthony Zee
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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 Brézin, Hikami, and Zee. The method used here may be applied to a broad class of problems involving random matrices.

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Anthony Zee. 1996-02-28. Law of addition in random matrix theory. https://doi.org/10.1016/0550-3213(96)00276-3

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