8 citations · 11 across the 6 of their papers we have counts for
8 papers
McMillan map and nonlinear Twiss parameters
Timofey Zolkin, Sergei Nagaitsev, Ivan Morozov
In this article we consider two dynamical systems: the McMillan sextupole and octupole integrable mappings originally introduced by Edwin McMillan; the second one is also known as…
Beam Test Facilities for R&D in Accelerator Science and Technologies
John Power, Christine Clarke, Michael Downer +14
This is the Snowmass Whitepaper on Beam Test Facilities for R&D in Accelerator Science and Technologies and it is submitted to two topical groups in the Accelerator Frontier: AF1 a…
Ion Coulomb Crystals in Storage Rings for Quantum Information Science
S. Brooks, K. Brown, F. Méot +29
Quantum information science is a growing field that promises to take computing into a new age of higher performance and larger scale computing as well as being capable of solving p…
Extracting Dynamical Frequencies from Invariants of Motion in Finite-Dimensional Nonlinear Integrable Systems
Chad E. Mitchell, Robert D. Ryne, Kilean Hwang +2
Integrable dynamical systems play an important role in many areas of science, including accelerator and plasma physics. An integrable dynamical system with degrees of freedom (…
Betatron frequency and the Poincare rotation number
Sergei Nagaitsev, Timofey Zolkin
Symplectic maps are routinely used to describe single-particle dynamics in circular accelerators. In the case of a linear accelerator map, the rotation number (the betatron frequen…
Chromatic and Dispersive Effects in Nonlinear Integrable Optics
Stephen D. Webb, David L. Bruhwiler, Alexander Valishev +2
Proton accumulator rings and other circular hadron accelerators are susceptible to intensity-driven parametric instabilities because the zero-current charged particle dynamics are…