You need JavaScript to view this

Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis

Technical Report:

Abstract

The two real canonical spin variables {alpha} and {beta} introduced in an earlier paper are combined with the six canonical variables of coupled synchro-betatron motion to form a system of eight canonical spin-orbit variables in which spin and orbital otion are treated on the same level. In these variables one turn maps are origin preserving and the usual techniques of canonical perturbation theory can be applied. By writing the Hamiltonian in normal form the spin detuning terms as well as the so called vector n-axis which is needed in the theory of radiative polarization can be constructed. The equations derived are valid for arbitrary velocity of the particles (below and above transition energy). (orig.)
Publication Date:
Mar 01, 1993
Product Type:
Technical Report
Report Number:
DESY-93-031
Reference Number:
SCA: 430400; PA: DEN-94:0F0761; EDB-94:026577; ERA-19:007292; NTS-94:015133; SN: 94001136208
Resource Relation:
Other Information: PBD: Mar 1993
Subject:
43 PARTICLE ACCELERATORS; STORAGE RINGS; BEAM DYNAMICS; L-S COUPLING; NONLINEAR PROBLEMS; BETATRON OSCILLATIONS; SYNCHROTRON OSCILLATIONS; SPIN ORIENTATION; EQUATIONS OF MOTION; HAMILTONIAN FUNCTION; PERTURBATION THEORY; MANY-DIMENSIONAL CALCULATIONS; QUASILINEAR PROBLEMS; SERIES EXPANSION; TRAJECTORIES; RESONANCE; CLASSICAL MECHANICS; ORBITS; 430400
OSTI ID:
10119874
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE94734102; TRN: DE94F0761
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
63 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Barber, D P, Heinemann, K, and Ripken, G. Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis. Germany: N. p., 1993. Web.
Barber, D P, Heinemann, K, & Ripken, G. Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis. Germany.
Barber, D P, Heinemann, K, and Ripken, G. 1993. "Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis." Germany.
@misc{etde_10119874,
title = {Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis}
author = {Barber, D P, Heinemann, K, and Ripken, G}
abstractNote = {The two real canonical spin variables {alpha} and {beta} introduced in an earlier paper are combined with the six canonical variables of coupled synchro-betatron motion to form a system of eight canonical spin-orbit variables in which spin and orbital otion are treated on the same level. In these variables one turn maps are origin preserving and the usual techniques of canonical perturbation theory can be applied. By writing the Hamiltonian in normal form the spin detuning terms as well as the so called vector n-axis which is needed in the theory of radiative polarization can be constructed. The equations derived are valid for arbitrary velocity of the particles (below and above transition energy). (orig.)}
place = {Germany}
year = {1993}
month = {Mar}
}