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Formulation of nonlinear chromaticity in circular accelerators by canonical perturbation method

Journal Article · · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
 [1]
  1. SPring-8, Mikazuki, Sayo-gun, Hyogo 679-5198 (Japan)

The formulation of nonlinear chromaticity in circular accelerators based on the canonical perturbation method is presented. Since the canonical perturbation method directly relates the tune shift to the perturbation Hamiltonian, it greatly simplifies the calculation of the nonlinear chromaticity. The obtained integral representation for nonlinear chromaticity can be systematically extended to higher orders.

OSTI ID:
20709778
Journal Information:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 72; ISSN PLEEE8; ISSN 1063-651X
Country of Publication:
United States
Language:
English

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