Localization and pattern formation in Wigner representation via multiresolution
Quantum Physics
2009-11-07 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
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.
Cite
@article{arxiv.quant-ph/0212166,
title = {Localization and pattern formation in Wigner representation via multiresolution},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:quant-ph/0212166},
year = {2009}
}
Comments
3 pages, 3 figures, espcrc2.sty, Presented at VIII International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Section III "Simulations and Computations in Theoretical Physics and Phenomenology", ACAT'2002, June 24-28, 2002, Moscow