Single particle dynamics in circular accelerators
Conference
·
OSTI ID:6421344
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
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM DYNAMICS
BEAMS
CANONICAL TRANSFORMATIONS
CYCLIC ACCELERATORS
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTON-JACOBI EQUATIONS
HAMILTONIAN FUNCTION
INTEGRAL CALCULUS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
PERTURBATION THEORY
RENORMALIZATION
RESONANCE
TRANSFORMATIONS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM DYNAMICS
BEAMS
CANONICAL TRANSFORMATIONS
CYCLIC ACCELERATORS
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTON-JACOBI EQUATIONS
HAMILTONIAN FUNCTION
INTEGRAL CALCULUS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
PERTURBATION THEORY
RENORMALIZATION
RESONANCE
TRANSFORMATIONS