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A generalized perturbation theory and its application to energy eigenfunctions (EFs)and to local spectral density of states (LDOS) in classically chaotic and mixed-type systems. Including: separation of EFs into non-perturbative and perturbative (tail) parts, statistics of EFs in their non-perturbative parts, dynamical localization, and renormalized Hamiltonians for the non-perturbative parts of EFs; structural properties and a scaling property of LDOS
Release time:2021-08-10
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- Pre One:Quantum Loschmidt echo or fidelity decay in classically chaotic and regular systems.Main achievements: a uniform semiclassical approach to fidelity decay in systems with weak chaos in the classical limit, a general semiclassical expression for fidelity decay in the Lyapunov regime of systems with chaotic classical limit, semiclassical expressions of fidelity decay in regular systems
- Next One:Universal statistics for ratios of components of energy eigenfunctions in disordered and classically chaotic systems. Manifestations of the destruction of integrability, in particular in the neighborhood of avoided level crossings