Kavli Affiliate: Anthony Zee
| First 5 Authors: Anthony Zee, , , ,
| Summary:
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.
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