Particle Motion in the Stable Region Near an Edge of a Linear Half-Integer Stopband

Details Particle Motion in the Stable Region Near an Edge of a Linear Half-Integer Stopband Particle Motion in the Stable Region Near an Edge of a Linear Half-Integer Stopband

1995-12-07

arxiv.org/abs/acc-phys/9512001v2

Physics

Accelerator Physics

16 pages, gzipped texsis paper

Scientific paper

This paper studies the motion of a particle whose tune is inside and near a linear half-integer stopband. Results are found for the tune and beta functions in the stable region close to an edge of the stopband. It is shown that the eigenvalues and the eigenfunctions of the transfer matrix are real inside the stopband. All the results found are also valid for small accelerators where the large accelerator approximation is not used.

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