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

Volume

3

fYear

2001

fDate

2001

Firstpage

1814

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001

Conference_Location

Chicago, IL

Print_ISBN

0-7803-7191-7

Type

conf

DOI

10.1109/PAC.2001.987192

Filename

987192