Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis
Barber, D P; Heinemann, K; Ripken, G
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
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.)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
OSTI; NTIS (US Sales Only); INIS
Germany
1993-03-01
English
Technical Report
Other Information: PBD: Mar 1993
Medium: X; Size: 63 p.
ON: DE94734102
DESY-93-031
Journal ID: ISSN 0418-9833; Other: ON: DE94734102; TRN: DE94F0761
DEN; SCA: 430400; PA: DEN-94:0F0761; EDB-94:026577; ERA-19:007292; NTS-94:015133; SN: 94001136208
2008-02-12
10119874