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A semiclassical matrix model for quantum chaotic transport. (English) Zbl 1298.82062
In the current work, a matrix model which embodies the semiclassical approach to the problem of quantum transport in chaotic systems is developed. In particular, an auxiliary matrix integral that has the correct diagrammatic rules and can be exactly solved is presented. The obtained results are equivalent with the corresponding predictions from random matrix theory.

MSC:
82C70 Transport processes in time-dependent statistical mechanics
81Q50 Quantum chaos
15B52 Random matrices (algebraic aspects)
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