Single particle dynamics in circular accelerators

Conference · Wed Oct 01 00:00:00 EDT 1986

OSTI ID:6421344

Ruth, R D

The purpose of this paper is to introduce the reader to the theory associated with the transverse dynamics of single particle, in circular accelerators. The discussion begins with a review of Hamiltonian dynamics and canonical transformations. The case of a single particle in a circular accelerator is considered with a discussion of non-linear terms and chromaticity. The canonical perturbation theory is presented and nonlinear resonances are considered. Finally, the concept of renormalization and residue criterion are examined. (FI)

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6421344
• Report Number(s): SLAC-PUB-4103; CONF-850771-12; ON: DE87008318; TRN: 87-028532
• Resource Relation: Conference: SLAC summer school on the physics of high energy particle accelerators, Stanford, CA, USA, 15 Jul 1985; Other Information: Portions of this document are illegible in microfiche products. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
HAMILTONIAN FUNCTION
CYCLIC ACCELERATORS
CANONICAL TRANSFORMATIONS
DEGREES OF FREEDOM
ELECTROMAGNETIC FIELDS
EQUATIONS OF MOTION
HAMILTON-JACOBI EQUATIONS
INTEGRAL CALCULUS
PARTICLE BEAMS
PERTURBATION THEORY
RENORMALIZATION
RESONANCE
ACCELERATORS
BEAMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSFORMATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics