Abstract
The exact solution and the invariant Cartan operator of the linear nonautonomous system with su(1,1)+h(3) dynamical algebra are obtained by using the method of algebraic dynamics. A novel, indirect quantum-classical correspondence of the solutions has been found. It has been shown 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.
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