• M.I.Brizgunov, A.V.Bubley, V.M.Panasiuk, V.V.Parkhomchuk, V.B.Reva
  Budker Institute of Nuclear Physics, Novosibirsk, Russia

The Courant-Snyder parametrization is most convenient way for describing particle-uncoupled motion in a storage ring. In the case of the weak-coupling this parametrization can be extended with the Edward-Teng or Lebedev description ways. The eigenvectors and eigenvalues of the betatron oscillation matrix slightly modified but the its physics meaning is kept. Such parametrizations work for the strong coupling yet but the physics interpretation obtained results are complicate enough. This article proposed another way for the description of the particle motion in the storage ring with the strong longitudinal magnetic field.

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