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.
Gutzwiller,The anisotropic Kepler problem in two dimensions,J
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The chapter reviews standard Hamiltonian chaos concepts including surfaces of section, stability analysis, symbolic dynamics, geometry of chaos, perturbation response, and complexification, with emphasis on intuitive illustrations for quantum chaos applications.
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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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Hamiltonian Chaos
The chapter reviews standard Hamiltonian chaos concepts including surfaces of section, stability analysis, symbolic dynamics, geometry of chaos, perturbation response, and complexification, with emphasis on intuitive illustrations for quantum chaos applications.