Advanced nonlinear theory: Long-term stability at the SSC

Technical Report · Wed Dec 31 23:00:00 EST 1986

OSTI ID:5970334

Heifets, S

This paper discussed the long-term stability of the particle beams in the Superconducting Super Collider. In particular the dynamics of a single particle beam is considered in depth. The topics of this paper include: the Hamiltonian of this particle approach, perturbation theory, canonical transformations, interaction of the resonances, structure of the phase space, synchro-Betatron oscillations, modulation diffusion and noise-resonance interaction. 36 refs. (LSP)

• Research Organization: Continuous Electron Beam Accelerator Facility, Newport News, VA (USA)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 5970334
• Report Number(s): DOE/ER/40150-38; CEBAF-PR-87-027; ON: DE88001720
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
BEAM DYNAMICS
BETATRON OSCILLATIONS
CANONICAL TRANSFORMATIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
NONLINEAR PROBLEMS
ORBITS
OSCILLATIONS
PERTURBATION THEORY
PHASE SPACE
QUANTUM OPERATORS
RESONANCE
SPACE
STABILITY
STORAGE RINGS
SUPERCONDUCTING SUPER COLLIDER
TRAJECTORIES
TRANSFORMATIONS