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19 April 2024
 
  » arxiv » quant-ph/0212166

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Localization and pattern formation in Wigner representation via multiresolution
Antonina N. Fedorova ; Michael G. Zeitlin ;
Date 31 Dec 2002
Subject Quantum Physics; Mathematical Physics; Pattern Formation and Solitons | quant-ph math-ph math.MP nlin.PS
AbstractWe 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.
Source arXiv, quant-ph/0212166
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