## 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.)

## 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}

}

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}

}