Title :
Quasiclassical calculations of Wigner functions in nonlinear beam dynamics
Author :
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
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 :
Wigner distribution; eigenvalues and eigenfunctions; harmonic analysis; nonlinear dynamical systems; particle beam dynamics; variational techniques; wavelet transforms; Wigner functions; deformation quantization; generalized coherent states; high-localized nonlinear eigenmodes; multiresolution representations; multiscale expansions; nonlinear beam dynamics; nonlinear harmonic analysis; quasiclassical beam dynamics; quasiclassical calculations; variational-wavelet analysis; Algebra; Energy resolution; Harmonic analysis; Integral equations; Orbital calculations; Physics; Polynomials; Quantization; Wavelet analysis; Wavelet packets;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987192
