Fedorova A.N., Zeitlin M.G.
BEAM-BEAM MODELLING VIA MULTIRESOLUTION
We present applications of methods from nonlinear local Fourier analysis
or wavelet analysis to modelling of beam-beam
interaction. Our approach
is based on methods provided possibility to work with dynamical
beam localization in phase space.
Consideration of Fokker-Planck or Langevin
dynamics is based on
a number of anzatzes, which reduce initial problems to a number of
dynamical systems (with constraints) and on variational-wavelet approach
to polynomial/rational approximations for reduced nonlinear dynamics.
Then we may calculate contribution to full dynamics (partition function)
from all underlying subscales.
As main example we consider modelling of beam-beam interaction in A.Chao
e.a. model -.