中文

Classical and Quantum Ensembles via Multiresolution. II. Wigner Ensembles

量子物理 2016-09-08 v1 统计力学 数学物理 math.MP 斑图形成与孤子 等离子体物理

摘要

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.

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引用

@article{arxiv.quant-ph/0406010,
  title  = {Classical and Quantum Ensembles via Multiresolution. II. Wigner Ensembles},
  author = {Antonina N. Fedorova and Michael G. Zeitlin},
  journal= {arXiv preprint arXiv:quant-ph/0406010},
  year   = {2016}
}

备注

5 pages, 2 figures, espcrc2.sty, Presented at IX International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Section III "Simulations and Computations in Theoretical Physics and Phenomenology", ACAT 2003, December, 2003, KEK, Tsukuba