Geometric and algebraic approach to classical dynamics of a particle with spin

Authors
Walser, MW Keitel, CH
Citation
Mw. Walser et Ch. Keitel, Geometric and algebraic approach to classical dynamics of a particle with spin, LETT MATH P, 55(1), 2001, pp. 63-70
Citations number
24
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
55
Issue
1
Year of publication
2001
Pages
63 - 70
Database
ISI
SICI code
0377-9017(2001)55:1<63:GAAATC>2.0.ZU;2-L
Abstract
We investigate the Frenkel equation and alternative approaches aimed to des cribe classically the dynamics of a particle with a spin degree of freedom. For all those theories unphysical solutions are shown to exist but to be r emovable via formal use of geometric perturbation theory. With an Clifford algebraic representation of the employed geometric concepts we put forward the modified Frenkel equation as more intuitive as alternative approaches.