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• W1970113882 abstract "We study the division of components of energy eigenfunctions, as the expansion of perturbed states in unperturbed states, into nonperturbative and perturbative parts in a three-orbital schematic shell model possessing a chaotic classical limit, the Hamiltonian of which is composed of a Hamiltonian of noninteracting particles and a perturbation. The perturbative parts of eigenfunctions are expanded in a convergent perturbation expansion by making use of the nonperturbative parts. The division is shown to have the property that, when the underlying classical system is chaotic, the statistics of the components of the nonperturbative parts whose relative localization length are close to 1 is in agreement with the prediction of random-matrix theory. When the underlying classical system is mixed, main bodies of most of the eigenfunctions are found to occupy parts of their nonperturbative regions, with some of the rest of the eigenfunctions being ergodic in their nonperturbative regions due to avoided level crossings. In case of the classical system being chaotic, most of the eigenfunctions are found ergodic or almost ergodic in their nonperturbative regions. Numerical results show that the average relative localization length of nonperturbative parts of eigenfunctions is useful in characterizing the behavior of the quantum system in the process of the underlying classical system changing from a mixed system to a chaotic one." @default.
• W1970113882 created "2016-06-24" @default.
• W1970113882 creator A5028849312 @default.
• W1970113882 date "2002-02-27" @default.
• W1970113882 modified "2023-09-26" @default.
• W1970113882 title "Nonperturbative and perturbative parts of energy eigenfunctions: A three-orbital schematic shell model" @default.
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• W1970113882 doi "https://doi.org/10.1103/physreve.65.036219" @default.
• W1970113882 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11909224" @default.
• W1970113882 hasPublicationYear "2002" @default.
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