ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this paper we present a classical symplectic treatment of linear and nonlinear spin-orbit motion for storage rings using a fully coupled eight-dimensional formalism which generalizes earlier investigations of coupled synchro-betatron oscillations [1, 2] by introducing two new real canonical spin variables which behave, in a small-angle limit, like those already used in linearised spin theory. Thus in addition to the usualx−z−s couplings, both the spin to orbit and orbit to spin coupling are described canonically. Since the spin Hamiltonian can be expanded in a Taylor series in canonical variables, the formalism is convenient for use in 8-dimensional symplectic tracking calculations with the help, for example, of Lie algebra or differential algebra [3, 4], for the study of chaotic spin motion, for construction of spin normal forms and for studying the effect of Stern-Gerlach forces [5].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01557243
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