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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Eigenstate thermalization explains why isolated quantum systems thermalize by showing that their energy eigenstates behave like thermal states, motivated by random matrix theory.
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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.
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Eigenstate thermalization
Eigenstate thermalization explains why isolated quantum systems thermalize by showing that their energy eigenstates behave like thermal states, motivated by random matrix theory.