TIME-DEPENDENT QUANTUM-SYSTEMS AND THE INVARIANT HERMITIAN OPERATOR

Authors
LAI YZ LIANG JQ MULLERKIRSTEN HJW ZHOU JG
Citation
Yz. Lai et al., TIME-DEPENDENT QUANTUM-SYSTEMS AND THE INVARIANT HERMITIAN OPERATOR, Physical review. A, 53(5), 1996, pp. 3691-3693
Citations number
16
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
53
Issue
5
Year of publication
1996
Pages
3691 - 3693
Database
ISI
SICI code
1050-2947(1996)53:5<3691:TQATIH>2.0.ZU;2-8
Abstract
We study the time evolution of quantum systems with a time-dependent H amiltonian given by a linear combination of SU(1,1) and SU(2) generato rs. The invariant Hermitian operator is constructed in the same manner as for both the SU(1,1) and SU(2) systems. With the help of the invar iant Hermitian operator we obtain not only the exact solutions of the Schrodinger equation but also the time-evolution operator. The adiabat ic and nonadiabatic Berry phases are calculated with the exact solutio ns.