Pattern Formation in Wigner-like Equations via Multiresolution
Fedorova, Antonina N. ; Zeitlin, Michael G.
arXiv, 0306197 / Harvested from arXiv
Text on arXiv
We present the application of the variational-wavelet analysis to the quasiclassical calculations of the solutions of Wigner/von Neumann/Moyal and related equations corresponding to the nonlinear (polynomial) dynamical problems. (Naive) deformation quantization, the multiresolution representations and the variational approach are the key points. We construct the solutions via the multiscale expansions in the generalized coherent states or high-localized nonlinear eigenmodes in the base of the compactly supported wavelets and the wavelet packets. We demonstrate the appearance of (stable) localized patterns (waveletons) and consider entanglement and decoherence as possible applications.
Publié le : 2003-06-29
Classification:  Quantum Physics,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons 
@article{0306197,
     author = {Fedorova, Antonina N. and Zeitlin, Michael G.},
     title = {Pattern Formation in Wigner-like Equations via Multiresolution},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306197}
}

Fedorova, Antonina N.; Zeitlin, Michael G. Pattern Formation in Wigner-like Equations via Multiresolution. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306197/