EXACT SOLUTION OF THE LINEAR NONAUTONOMOUS SYSTEM WITH THE SU(1,1) DYNAMICAL GROUP

Authors
WANG SJ ZUO W WEIGUNY A LI FL
Citation
Sj. Wang et al., EXACT SOLUTION OF THE LINEAR NONAUTONOMOUS SYSTEM WITH THE SU(1,1) DYNAMICAL GROUP, Physics letters. A, 196(1-2), 1994, pp. 7-12
Citations number
12
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
196
Issue
1-2
Year of publication
1994
Pages
7 - 12
Database
ISI
SICI code
0375-9601(1994)196:1-2<7:ESOTLN>2.0.ZU;2-W
Abstract
The exact solution and the invariant Cartan operator of the linear non autonomous system with the SU (1,1) dynamical group are obtained by us ing the method of algebraic dynamics. The profound quantum-classical c orrespondence of the solutions is exhibited clearly: the quantum solut ions of the system are determined by those of the corresponding classi cal equations and a continuous set of classical complex orbits corresp onds to just one quantum solution. The nonadiabatic and adiabatic Berr y phases are also calculated.