THE ALGEBRAIC STRUCTURE OF GENERALIZED ERMAKOV SYSTEMS IN 3 DIMENSIONS

Authors
GOVINDER KS ATHORNE C LEACH PGL
Citation
Ks. Govinder et al., THE ALGEBRAIC STRUCTURE OF GENERALIZED ERMAKOV SYSTEMS IN 3 DIMENSIONS, Journal of physics. A, mathematical and general, 26(16), 1993, pp. 4035-4046
Citations number
25
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
26
Issue
16
Year of publication
1993
Pages
4035 - 4046
Database
ISI
SICI code
0305-4470(1993)26:16<4035:TASOGE>2.0.ZU;2-F
Abstract
The characteristic algebra of generalized Ermakov systems is sl(2, R). The structure of these systems in three dimensions is obtained. A sub set in the form of an equation of motion with the additional requireme nt of so(3) symmetry is studied. It includes the classical equation of the magnetic monopole. The existence of three vectors of Poincare typ e is established. Consideration is given to weak generalized Ermakov s ystems in which the symmetry breaking occurs in the radial equation.