Title :
Nonlinear accelerator problems via wavelets. IV. Spin-orbital motion
Author :
Fedorova, A. ; Zeitlin, M.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
Abstract :
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via the variational approach. We consider a different variational approach, which is applied to each scale
Keywords :
particle accelerators; particle beam dynamics; polynomial approximation; spin-orbit interactions; variational techniques; wavelet transforms; Thomas-BMT equations; biorthogonal wavelets; classical spin vector; nonlinear accelerator problems; orbital dynamics; polynomial approximations; spin-orbital motion; variational approach; Chaos; Differential equations; Kinetic theory; Motion analysis; Periodic structures; Physics; Poisson equations; Polynomials; Toxicology; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792978
