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

1999/04/21 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Chaotic Dynamics (nlin.CD) #Computational Physics (physics.comp-ph) #Elasticity and Wave Propagation #FOS: Physical sciences #Image and Signal Denoising Methods #Mathematical Physics (math-ph) #Seismic Imaging and Inversion Techniques #chao-dyn #math-ph #math.MP #nlin.CD #physics.acc-ph #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.physics/9904042

LaTeX, 1 figure, pac99.cls, Proceedings PAC99

arxiv created 1999/04/21 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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