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Classical and quantum ensembles via multiresolution: I—BBGKY hierarchy

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

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 286 KB
Volume: 534
Category: Article
ISSN: 0168-9002
DOI: 10.1016/j.nima.2004.07.107

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✦ Synopsis

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 polynomial tensor algebras of highlocalized states. Numerical modeling shows the creation of various internal structures from localized modes, which are related to localized or chaotic types of behavior and the corresponding pattern (waveleton) formation. The localized pattern is a model for energy confinement state (fusion) in plasma.

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Classical and quantum ensembles via multiresolution. II. Wigner ensembles

✍ Antonina N. Fedorova; Michael G. Zeitlin 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 225 KB

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