dorsal/arxiv
View SchemaLocalization and pattern formation in Wigner representation via multiresolution
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212166 |
| URL | https://arxiv.org/abs/quant-ph/0212166 |
| DOI | 10.1016/S0168-9002(03)00535-7 |
Abstract
We present an application of variational-wavelet analysis to quasiclassical calculations of solutions of Wigner equations related to nonlinear (polynomial) dynamical problems. (Naive) deformation quantization, multiresolution representations and variational approach are the key points. Numerical calculations demonstrates pattern formation from localized eigenmodes and transition from chaotic to localized (waveleton) types of behaviour.
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"date_created": "2026-03-02T18:01:56.196000Z",
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"abstract": "We present an application of variational-wavelet analysis to quasiclassical\ncalculations of solutions of Wigner equations related to nonlinear (polynomial)\ndynamical problems. (Naive) deformation quantization, multiresolution\nrepresentations and variational approach are the key points. Numerical\ncalculations demonstrates pattern formation from localized eigenmodes and\ntransition from chaotic to localized (waveleton) types of behaviour.",
"arxiv_id": "quant-ph/0212166",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
"categories": [
"quant-ph",
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"math.MP",
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],
"doi": "10.1016/S0168-9002(03)00535-7",
"title": "Localization and pattern formation in Wigner representation via multiresolution",
"url": "https://arxiv.org/abs/quant-ph/0212166"
},
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