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Classical and quantum ensembles via multiresolution. II. Wigner ensembles

✍ Scribed by Antonina N. Fedorova; Michael G. Zeitlin

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
225 KB
Volume
534
Category
Article
ISSN
0168-9002

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✦ Synopsis

We present the application of the variational-wavelet analysis to the analysis of quantum ensembles in Wigner framework. (Naive) deformation quantization, the multiresolution representations and the variational approach are the key points. We construct the solutions of Wigner-like equations 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.

πŸ“œ SIMILAR VOLUMES

Classical and quantum ensembles via mult
Classical and quantum ensembles via multiresolution: Iβ€”BBGKY hierarchy
✍ Antonina N. Fedorova; Michael G. Zeitlin πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 286 KB

A fast and efficient numerical-analytical approach is proposed for modeling complex behavior in the BBGKY hierarchy of kinetic equations. We construct the multiscale representation for the hierarchy of reduced distribution functions in the variational approach and multiresolution decomposition in po