Quasiclassical Calculations of Wigner Functions in Nonlinear Beam Dynamics
Accelerator Physics
2007-05-23 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Computational Physics
Quantum Physics
Abstract
We present the application of variational-wavelet analysis to numerical/analytical calculations of Wigner functions in (nonlinear) quasiclassical beam dynamics problems. (Naive) deformation quantization and multiresolution representations are the key points. We construct the representation via multiscale expansions in generalized coherent states or high-localized nonlinear eigenmodes in the base of compactly supported wavelets and wavelet packets.
Keywords
Cite
@article{arxiv.physics/0106005,
title = {Quasiclassical Calculations of Wigner Functions in Nonlinear Beam Dynamics},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/0106005},
year = {2007}
}
Comments
3 pages, 2 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC2001), Chicago, June 18-22, 2001