TY - RPRT
TI - Nonlinear canonical spin-orbit dynamics in storage rings: Normal forms and the vector n-axis
AB - 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.)
AU - Barber, D P
AU - Heinemann, K
AU - Ripken, G
KW - 43 PARTICLE ACCELERATORS
KW - STORAGE RINGS
KW - BEAM DYNAMICS
KW - L-S COUPLING
KW - NONLINEAR PROBLEMS
KW - BETATRON OSCILLATIONS
KW - SYNCHROTRON OSCILLATIONS
KW - SPIN ORIENTATION
KW - EQUATIONS OF MOTION
KW - HAMILTONIAN FUNCTION
KW - PERTURBATION THEORY
KW - MANY-DIMENSIONAL CALCULATIONS
KW - QUASILINEAR PROBLEMS
KW - SERIES EXPANSION
KW - TRAJECTORIES
KW - RESONANCE
KW - CLASSICAL MECHANICS
KW - ORBITS
KW - 430400
DO -
UR -
PB -
CY - Germany
PY - 1993
DA - 1993-03-01
LA - English
J2 -
C1 - Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
C2 -
ER -