1995/12/07 by G. Parzen, Parzen, G.
Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Crystallography and Radiation Phenomena #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum optics and atomic interactions #acc-phys #physics.acc-ph
paper · pdf · doi:10.48550/arxiv.acc-phys/9512001
16 pages, gzipped texsis paper
openalex publication_date 1995/12/07 · arxiv created 1995/12/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.