English

Nonlinear Accelerator Problems via Wavelets: 4. Spin-Orbital Motion

Accelerator Physics 2007-05-23 v1 chao-dyn Mathematical Physics math.MP Chaotic Dynamics Computational Physics

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 variational approach. We consider a different variational approach, which is applied to each scale.

Keywords

Cite

@article{arxiv.physics/9904042,
  title  = {Nonlinear Accelerator Problems via Wavelets: 4. Spin-Orbital Motion},
  author = {Antonina N. Fedorova and Michael G. Zeitlin},
  journal= {arXiv preprint arXiv:physics/9904042},
  year   = {2007}
}

Comments

LaTeX, 1 figure, pac99.cls, Proceedings PAC99