Didactic derivation of Gutzwiller's trace formula from the path integral, with overview of its use in explaining random matrix theory statistics for quantum energy levels.
Robbins,Discrete symmetries in periodic-orbit theory,Phys
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The paper reviews properties of neutrino billiards for integrable and chaotic shapes as models of relativistic quantum chaos and discusses graphene-based experimental realizations.
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Semiclassical periodic-orbit theory for quantum spectra
Didactic derivation of Gutzwiller's trace formula from the path integral, with overview of its use in explaining random matrix theory statistics for quantum energy levels.
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Relativistic Quantum Chaos in Neutrino Billiards
The paper reviews properties of neutrino billiards for integrable and chaotic shapes as models of relativistic quantum chaos and discusses graphene-based experimental realizations.