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

Antonina N. Fedorova·Michael G. Zeitlin
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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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Antonina N. Fedorova, Michael G. Zeitlin. 1999-04-21. Nonlinear Accelerator Problems via Wavelets: 4. Spin-Orbital Motion. https://arxiv.org/abs/physics/9904042

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