Cantori and dynamical localization in the Bunimovich stadium

Fausto Borgonovi; Paolo Conti; Daniela Rebuzzi; Bambi Hu; Baowen Li

doi:10.1016/S0167-2789(98)00233-4

Cantori and dynamical localization in the Bunimovich stadium

Fausto Borgonovi^*, Paolo Conti, Daniela Rebuzzi, Bambi Hu, Baowen Li

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

24 Citations (Scopus)

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Abstract

Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical cantori), dynamical and ergodic.

Original language	English
Pages (from-to)	317-326
Number of pages	10
Journal	Physica D: Nonlinear Phenomena
Volume	131
Issue number	1-4
DOIs	https://doi.org/10.1016/S0167-2789(98)00233-4
Publication status	Published - 1 Jul 1999

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

User-Defined Keywords

Localization
Quantum billiards
Quantum chaos

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10.1016/S0167-2789(98)00233-4

Full TextAccepted author manuscript, 7.56 MB

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title = "Cantori and dynamical localization in the Bunimovich stadium",

abstract = "Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical cantori), dynamical and ergodic.",

keywords = "Localization, Quantum billiards, Quantum chaos",

author = "Fausto Borgonovi and Paolo Conti and Daniela Rebuzzi and Bambi Hu and Baowen Li",

note = "Funding Information: We thank R. Prange, R. Narevich and O. Zaitsev for making their work available before publication. Discussions with G. Casati are also acknowledged. BH and BL were supported in part by the grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grants (FRG).",

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AU - Borgonovi, Fausto

AU - Conti, Paolo

AU - Rebuzzi, Daniela

AU - Hu, Bambi

AU - Li, Baowen

N1 - Funding Information: We thank R. Prange, R. Narevich and O. Zaitsev for making their work available before publication. Discussions with G. Casati are also acknowledged. BH and BL were supported in part by the grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grants (FRG).

PY - 1999/7/1

Y1 - 1999/7/1

N2 - Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical cantori), dynamical and ergodic.

AB - Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical cantori), dynamical and ergodic.

KW - Localization

KW - Quantum billiards

KW - Quantum chaos

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U2 - 10.1016/S0167-2789(98)00233-4

DO - 10.1016/S0167-2789(98)00233-4

M3 - Journal article

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EP - 326

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-4

ER -

Cantori and dynamical localization in the Bunimovich stadium

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