Controllability of molecular systems
- 1 February 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 51 (2), 960-966
- https://doi.org/10.1103/physreva.51.960
Abstract
In this paper we analyze the controllability of quantum systems arising in molecular dynamics. We model these systems as systems with finite numbers of levels, and examine their controllability. To do this we pass to their unitary generators and use results on the controllability of invariant systems on Lie groups. Examples of molecular systems, modeled as finite-dimensional control systems, are provided. A simple algorithm to detect the controllability of a molecular system is provided. Finally, we apply this algorithm to a five-level system.Keywords
This publication has 11 references indexed in Scilit:
- Optimally designed potentials for control of electron-wave scattering in semiconductor nanodevicesPhysical Review B, 1994
- Coherent Control of Quantum Dynamics: The Dream Is AliveScience, 1993
- Optical control of molecular motion with robustness and application to vinylidene fluorideJournal of the Optical Society of America B, 1990
- On using shaped light pulses to control the selectivity of product formation in a chemical reaction: An application to a multiple level systemThe Journal of Chemical Physics, 1990
- On the controllability of quantum-mechanical systemsJournal of Mathematical Physics, 1983
- Geometric methods for nonlinear optimal control problemsJournal of Optimization Theory and Applications, 1978
- Lie Groups, Lie Algebras, and Some of Their ApplicationsPhysics Today, 1974
- Control systems on Lie groupsJournal of Differential Equations, 1972
- System Theory on Group Manifolds and Coset SpacesSIAM Journal on Control, 1972
- A consequence of controllabilityJournal of Differential Equations, 1971