Phys. Rev. E 72, 046502 (2005) [4 pages]Formulation of nonlinear chromaticity in circular accelerators by canonical perturbation methodReceived 29 June 2005; published 14 October 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.046502
DOI:
10.1103/PhysRevE.72.046502
PACS:
41.85.−p
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