ALGEBRAIC DYNAMICAL-APPROACH TO THE SU(1,1)CIRCLE-PLUS-H(3) DYNAMICALSYSTEM - A GENERALIZED HARMONIC-OSCILLATOR IN AN EXTERNAL-FIELD

Authors
ZUO W WANG SJ
Citation
W. Zuo et Sj. Wang, ALGEBRAIC DYNAMICAL-APPROACH TO THE SU(1,1)CIRCLE-PLUS-H(3) DYNAMICALSYSTEM - A GENERALIZED HARMONIC-OSCILLATOR IN AN EXTERNAL-FIELD, Journal de physique. I, 7(6), 1997, pp. 749-758
Citations number
26
Categorie Soggetti
Physics
Journal title
Journal de physique. I → ACNP
ISSN journal
11554304
Volume
7
Issue
6
Year of publication
1997
Pages
749 - 758
Database
ISI
SICI code
1155-4304(1997)7:6<749:ADTTSD>2.0.ZU;2-W
Abstract
The exact solution and the invariant Cartan operator of the linear non autonomous system with su(1,1)+h(3) dynamical algebra are obtained by using the method of algebraic dynamics. A novel, indirect quantum-clas sical correspondence of the solutions has been found. It has been show n that algebraic dynamics can be generalized from the linear dynamical system with su(1,1) Lie algebra to a more complicated system with su( 1,1)+h(3) Lie algebra. Nonadiabatic Berry's phase is also calculated.