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Quantum chaos and quantum graphs

Jac Verbaarschot.

in The Oxford Handbook of Random Matrix Theory

September 2015; p ublished online August 2018 .

Article. Subjects: Mathematics; Quantum Physics; Physics. 9613 words.

This article examines the origins of the universality of the spectral statistics of quantum chaotic systems in the context of periodic orbit theory. It also considers interesting analogies...

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Resonance scattering of waves in chaotic systems

Sebastian Muller and Martin Sieber.

in The Oxford Handbook of Random Matrix Theory

September 2015; p ublished online August 2018 .

Article. Subjects: Mathematics; Quantum Physics; Physics. 11964 words.

This article discusses some applications of random matrix theory (RMT) to quantum or wave chaotic resonance scattering. It first provides an overview of selected topics on universal...

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String theory

Ivan Kostov.

in The Oxford Handbook of Random Matrix Theory

September 2015; p ublished online August 2018 .

Article. Subjects: Mathematics; Quantum Physics; Physics. 8275 words.

This article discusses the link between matrix models and string theory, giving emphasis on topological string theory and the Dijkgraaf–Vafa correspondence, along with applications of this...

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