ERMAKOV SYSTEMS - A GROUP THEORETIC APPROACH

Authors
GOVINDER KS LEACH PGL
Citation
Ks. Govinder et Pgl. Leach, ERMAKOV SYSTEMS - A GROUP THEORETIC APPROACH, Physics letters. A, 186(5-6), 1994, pp. 391-395
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
186
Issue
5-6
Year of publication
1994
Pages
391 - 395
Database
ISI
SICI code
0375-9601(1994)186:5-6<391:ES-AGT>2.0.ZU;2-Z
Abstract
Recently Leach [Phys. Lett. A 158 (1991) 102] reported that Ermakov sy stems have the Lie algebra sl(2, R). Leach also reported the Lie algeb ra of the Ermakov-Lewis invariant to be sl(2, R). This is misleading a nd we complete his results. We also determine the general equation inv ariant under this new symmtery. Finally we find all (four) first integ rals for Hamiltonian Ermakov systems.